diff --git a/gitnexus/src/core/ingestion/languages/cpp/conversion-rank.ts b/gitnexus/src/core/ingestion/languages/cpp/conversion-rank.ts
new file mode 100644
index 0000000000..2a9e3bc012
--- /dev/null
+++ b/gitnexus/src/core/ingestion/languages/cpp/conversion-rank.ts
@@ -0,0 +1,47 @@
+/**
+ * C++ conversion-rank scoring for overload resolution (#1578).
+ *
+ * Operates on **normalized** type strings (output of
+ * `normalizeCppParamType` in `arity-metadata.ts`). After normalization:
+ *   - int/long/short/unsigned → 'int'
+ *   - float/double → 'double'
+ *   - char → 'char', bool → 'bool'
+ *
+ * Because the normalizer collapses promotion pairs (int↔long,
+ * float↔double) to the same string, those promotions are invisible at
+ * this layer — they appear as exact matches (rank 0).
+ *
+ * Post-normalization ranking:
+ *   - rank 0 — exact (same normalized type)
+ *   - rank 1 — integral promotion (char→int, bool→int)
+ *   - rank 2 — standard arithmetic conversion (int↔double, char→double,
+ *              bool→double)
+ *   - Infinity — mismatch (string↔int, user types, pointers, etc.)
+ *
+ * This function is intentionally C++-specific (issue #1578 pitfall:
+ * keep conversion-rank tables out of shared overload-narrowing). Other
+ * languages may define their own `ConversionRankFn` in the future.
+ */
+
+/** Set of normalized arithmetic types that support implicit conversion. */
+const ARITHMETIC = new Set(['int', 'double', 'char', 'bool']);
+
+/** Integral promotion targets: char→int and bool→int are rank 1. */
+const INTEGRAL_PROMOTION = new Map([
+  ['char', 'int'],
+  ['bool', 'int'],
+]);
+
+/**
+ * Return the conversion rank from `argType` to `paramType`.
+ *
+ * @returns 0 for exact match, 1 for integral promotion (char/bool→int),
+ *          2 for standard arithmetic conversion, Infinity for mismatch.
+ */
+export function cppConversionRank(argType: string, paramType: string): number {
+  if (argType === paramType) return 0;
+  // Integral promotions: char→int, bool→int (ISO C++ [conv.prom])
+  if (INTEGRAL_PROMOTION.get(argType) === paramType) return 1;
+  if (ARITHMETIC.has(argType) && ARITHMETIC.has(paramType)) return 2;
+  return Infinity;
+}
diff --git a/gitnexus/src/core/ingestion/languages/cpp/scope-resolver.ts b/gitnexus/src/core/ingestion/languages/cpp/scope-resolver.ts
index 52c575cf4b..4e226bbac2 100644
--- a/gitnexus/src/core/ingestion/languages/cpp/scope-resolver.ts
+++ b/gitnexus/src/core/ingestion/languages/cpp/scope-resolver.ts
@@ -9,6 +9,7 @@ import { populateClassOwnedMembers } from '../../scope-resolution/scope/walkers.
 import type { ScopeResolver } from '../../scope-resolution/contract/scope-resolver.js';
 import { cppProvider } from '../c-cpp.js';
 import { cppArityCompatibility } from './arity.js';
+import { cppConversionRank } from './conversion-rank.js';
 import { cppMergeBindings } from './merge-bindings.js';
 import { resolveCppImportTarget } from './import-target.js';
 import { scanCppHeaderFiles } from './header-scan.js';
@@ -169,6 +170,10 @@ export const cppScopeResolver: ScopeResolver = {
   propagatesReturnTypesAcrossImports: true,
   // C++ #include brings in all symbols — enable global free call fallback
   allowGlobalFreeCallFallback: true,
+  // C++ standard-conversion-sequence ranking for overload resolution (#1578).
+  // Disambiguates `f(int)` vs `f(double)` called with `f(2.5)` by scoring
+  // each candidate's conversion cost; exact match wins over standard conversion.
+  conversionRankFn: cppConversionRank,
   // Range-for element type inference: for (auto& user : users) → bind user to User
   populateRangeBindings: populateCppRangeBindings,
   // C++ method return-type bindings need to be visible from module scope
diff --git a/gitnexus/src/core/ingestion/scope-resolution/contract/scope-resolver.ts b/gitnexus/src/core/ingestion/scope-resolution/contract/scope-resolver.ts
index 315471de15..c6f4943682 100644
--- a/gitnexus/src/core/ingestion/scope-resolution/contract/scope-resolver.ts
+++ b/gitnexus/src/core/ingestion/scope-resolution/contract/scope-resolver.ts
@@ -264,6 +264,7 @@ import type { GraphNodeLookup } from '../graph-bridge/node-lookup.js';
 import { LanguageProvider } from '../../language-provider.js';
 import { ScopeResolutionIndexes } from '../../model/scope-resolution-indexes.js';
 import type { SemanticModel } from '../../model/semantic-model.js';
+import type { ConversionRankFn } from '../passes/overload-narrowing.js';
 
 /** A LinearizeStrategy receives the full ancestor map so C3-style
  *  algorithms (which need to merge each parent's MRO) can implement
@@ -533,6 +534,20 @@ export interface ScopeResolver {
    */
   readonly allowGlobalFreeCallFallback?: boolean;
 
+  /**
+   * Optional per-slot conversion-rank function for overload resolution.
+   * When provided, `narrowOverloadCandidates` uses ranked scoring as a
+   * fallback when the exact-type filter produces no match. The function
+   * returns a numeric cost (0 = exact, 1 = promotion, 2 = standard
+   * conversion, Infinity = incompatible) for converting an argument
+   * type to a parameter type.
+   *
+   * The conversion-rank table is language-specific (issue #1578 pitfall:
+   * keep it out of shared overload-narrowing). C++ provides
+   * `cppConversionRank`; other languages define their own if needed.
+   */
+  readonly conversionRankFn?: ConversionRankFn;
+
   /**
    * Optional predicate to identify definitions with file-local linkage
    * (e.g. C `static` functions). When provided, `pickUniqueGlobalCallable`
diff --git a/gitnexus/src/core/ingestion/scope-resolution/passes/free-call-fallback.ts b/gitnexus/src/core/ingestion/scope-resolution/passes/free-call-fallback.ts
index d9e4cdaa3a..2be4a68093 100644
--- a/gitnexus/src/core/ingestion/scope-resolution/passes/free-call-fallback.ts
+++ b/gitnexus/src/core/ingestion/scope-resolution/passes/free-call-fallback.ts
@@ -25,6 +25,7 @@ import type { WorkspaceResolutionIndex } from '../workspace-index.js';
 import type { GraphNodeLookup } from '../graph-bridge/node-lookup.js';
 import { resolveCallerGraphId, resolveDefGraphId } from '../graph-bridge/ids.js';
 import {
+  findAllCallableBindingsInScope,
   findCallableBindingInScope,
   findCallableBindingsAndAdlBlocker,
   findClassBindingInScope,
@@ -32,6 +33,7 @@ import {
 import {
   isOverloadAmbiguousAfterNormalization,
   narrowOverloadCandidates,
+  type ConversionRankFn,
 } from './overload-narrowing.js';
 
 export function emitFreeCallFallback(
@@ -63,6 +65,7 @@ export function emitFreeCallFallback(
       scopes: ScopeResolutionIndexes,
       parsedFiles: readonly ParsedFile[],
     ) => readonly SymbolDefinition[] | undefined;
+    readonly conversionRankFn?: ConversionRankFn;
   } = {},
 ): number {
   let emitted = 0;
@@ -90,16 +93,59 @@ export function emitFreeCallFallback(
       // the same name in a single class, choose the best match by
       // arity + argument types.
       if (fnDef === undefined) {
-        fnDef = pickImplicitThisOverload(site, scopes, workspaceIndex, model);
+        fnDef = pickImplicitThisOverload(
+          site,
+          scopes,
+          workspaceIndex,
+          model,
+          options.conversionRankFn,
+        );
       }
+      // Scope-chain callable lookup. First-match preserves scope-chain
+      // precedence (local shadows import). When a conversion-rank function
+      // is available AND the binding scope contains multiple overloads,
+      // refine with `narrowOverloadCandidates` to pick the best overload
+      // by argument types (#1578). The first-match result is kept as a
+      // fallback when narrowing is indeterminate.
       if (fnDef === undefined) {
         if (options.resolveAdlCandidates === undefined) {
+          // Non-ADL path: first-match preserves scope-chain precedence
+          // (local shadows import). When a conversion-rank function is
+          // available AND the binding scope contains multiple overloads,
+          // refine with narrowOverloadCandidates (#1578).
           fnDef = findCallableBindingInScope(site.inScope, site.name, scopes);
+          if (fnDef !== undefined && options.conversionRankFn !== undefined) {
+            const allCallables = findAllCallableBindingsInScope(site.inScope, site.name, scopes);
+            if (allCallables.length > 1) {
+              const narrowed = narrowOverloadCandidates(
+                allCallables,
+                site.arity,
+                site.argumentTypes,
+                options.conversionRankFn,
+              );
+              if (narrowed.length === 1) {
+                fnDef = narrowed[0];
+              } else if (narrowed.length > 1) {
+                // Multiple survivors after conversion-rank scoring.
+                // Suppress when all candidates share the same file (true
+                // overloads) — mirrors ADL merged-candidate path behavior.
+                // Cross-file candidates are shadowing; keep first-match.
+                const sameFile = narrowed.every((d) => d.filePath === narrowed[0]!.filePath);
+                if (sameFile) {
+                  handledSites.add(
+                    `${parsed.filePath}:${site.atRange.startLine}:${site.atRange.startCol}`,
+                  );
+                  continue;
+                }
+              }
+              // narrowed.length === 0: keep the first-match fnDef —
+              // preserves local-shadows-import.
+            }
+          }
         } else {
-          // ISO C++ `[basic.lookup.unqual]` §7: ADL is suppressed when
-          // ordinary lookup finds a non-function name (variable, class, enum)
-          // or a block-scope function declaration (not via using-declaration)
-          // at the nearest scope where the name exists.
+          // ADL path: ISO C++ `[basic.lookup.unqual]` §7 — ADL is suppressed
+          // when ordinary lookup finds a non-function name or a block-scope
+          // function declaration.
           const {
             callables: ordinary,
             nonCallableFound,
@@ -120,43 +166,67 @@ export function emitFreeCallFallback(
                 parsedFiles,
               );
 
-          // Preserve existing ordinary-lookup behavior when ADL contributed
-          // no candidates.
+          // When ADL contributed no candidates, narrow ordinary candidates
+          // with conversion-rank scoring when multiple overloads exist.
+          // Single candidate or empty falls through to first-match.
           if (adl === undefined || adl.length === 0) {
-            fnDef = ordinary[0];
+            if (ordinary.length <= 1 || options.conversionRankFn === undefined) {
+              fnDef = ordinary[0];
+            } else {
+              const siteKey = `${parsed.filePath}:${site.atRange.startLine}:${site.atRange.startCol}`;
+              const narrowed = narrowOverloadCandidates(
+                ordinary,
+                site.arity,
+                site.argumentTypes,
+                options.conversionRankFn,
+              );
+              if (narrowed.length === 1) {
+                fnDef = narrowed[0];
+              } else if (narrowed.length > 1) {
+                // Multiple survivors — suppress when same-file (true
+                // overloads), mirrors ADL merged-candidate behavior.
+                const sameFile = narrowed.every((d) => d.filePath === narrowed[0]!.filePath);
+                if (sameFile) {
+                  handledSites.add(siteKey);
+                  continue;
+                }
+                fnDef = ordinary[0]; // cross-file shadowing → first-match
+              } else {
+                fnDef = ordinary[0]; // narrowed empty → first-match
+              }
+            }
           } else {
             const siteKey = `${parsed.filePath}:${site.atRange.startLine}:${site.atRange.startCol}`;
             const merged: SymbolDefinition[] = [];
-            const seen = new Set<string>();
+            const seenMerge = new Set<string>();
             const push = (defs: readonly SymbolDefinition[]): void => {
               for (const d of defs) {
-                if (seen.has(d.nodeId)) continue;
-                seen.add(d.nodeId);
+                if (seenMerge.has(d.nodeId)) continue;
+                seenMerge.add(d.nodeId);
                 merged.push(d);
               }
             };
             push(ordinary);
             push(adl);
 
-            const narrowed = narrowOverloadCandidates(merged, site.arity, site.argumentTypes);
+            const narrowed = narrowOverloadCandidates(
+              merged,
+              site.arity,
+              site.argumentTypes,
+              options.conversionRankFn,
+            );
             if (narrowed.length === 1) {
               fnDef = narrowed[0];
             } else if (narrowed.length === 0) {
-              // ADL contributed candidates, but none survived arity/type
-              // narrowing. Treat as handled to avoid global-name fallback
-              // binding to the same mismatched symbol by simple-name
-              // uniqueness.
               handledSites.add(siteKey);
               continue;
             } else if (narrowed.length > 1) {
-              // Suppress ambiguous overload calls (emit zero edges) when
-              // merged ordinary+ADL candidate sets cannot be disambiguated.
               if (isOverloadAmbiguousAfterNormalization(narrowed, site.arity)) {
                 handledSites.add(siteKey);
                 continue;
               }
-              // Multiple survivors remain but no conversion-ranking step
-              // exists yet; suppress instead of picking arbitrarily.
+              // Multiple survivors remain after conversion-rank scoring;
+              // suppress instead of picking arbitrarily.
               handledSites.add(siteKey);
               continue;
             }
@@ -184,6 +254,8 @@ export function emitFreeCallFallback(
                   scopes,
                 })
             : undefined,
+          site.argumentTypes,
+          options.conversionRankFn,
         );
       }
       if (fnDef === undefined) continue;
@@ -222,6 +294,8 @@ function pickUniqueGlobalCallable(
   isFileLocalDef?: (def: SymbolDefinition) => boolean,
   callArity?: number,
   isCallerVisible?: (candidate: SymbolDefinition) => boolean,
+  callArgTypes?: readonly string[],
+  conversionRankFn?: ConversionRankFn,
 ): SymbolDefinition | undefined {
   const scopeDefs: SymbolDefinition[] = [];
   const scopeSeen = new Set<string>();
@@ -256,6 +330,14 @@ function pickUniqueGlobalCallable(
     const arityMatch = narrowByArity(scopeDefs, callArity);
     if (arityMatch !== undefined) return arityMatch;
   }
+  // When arity narrowing left >1 candidate, try overload narrowing with
+  // argument types + conversion ranking (#1578). This picks the unique
+  // best-rank candidate when exact-type or conversion-rank scoring can
+  // disambiguate (e.g., `f(int)` vs `f(double)` called with `f(2.5)`).
+  if (scopeDefs.length > 1) {
+    const narrowed = narrowOverloadCandidates(scopeDefs, callArity, callArgTypes, conversionRankFn);
+    if (narrowed.length === 1) return narrowed[0];
+  }
 
   const defs: SymbolDefinition[] = [];
   const seen = new Set<string>();
@@ -289,6 +371,11 @@ function pickUniqueGlobalCallable(
     const arityMatch = narrowByArity(defs, callArity);
     if (arityMatch !== undefined) return arityMatch;
   }
+  // Same argument-type + conversion-rank narrowing for the model pool.
+  if (defs.length > 1) {
+    const narrowed = narrowOverloadCandidates(defs, callArity, callArgTypes, conversionRankFn);
+    if (narrowed.length === 1) return narrowed[0];
+  }
 
   return undefined;
 }
@@ -362,6 +449,7 @@ export function pickImplicitThisOverload(
   scopes: ScopeResolutionIndexes,
   workspaceIndex: WorkspaceResolutionIndex,
   model: SemanticModel,
+  conversionRankFn?: ConversionRankFn,
 ): SymbolDefinition | undefined {
   // Find the enclosing Class scope by walking parents.
   let curId: ScopeId | null = site.inScope;
@@ -389,7 +477,12 @@ export function pickImplicitThisOverload(
   // ambiguous narrowing (multiple compatible candidates with no
   // disambiguating signal) leaves the call unresolved rather than
   // routing to an arbitrary first overload by registration order.
-  const candidates = narrowOverloadCandidates(overloads, site.arity, site.argumentTypes);
+  const candidates = narrowOverloadCandidates(
+    overloads,
+    site.arity,
+    site.argumentTypes,
+    conversionRankFn,
+  );
   if (candidates.length !== 1) return undefined;
   return candidates[0];
 }
diff --git a/gitnexus/src/core/ingestion/scope-resolution/passes/overload-narrowing.ts b/gitnexus/src/core/ingestion/scope-resolution/passes/overload-narrowing.ts
index bff16d27ea..5c9338f406 100644
--- a/gitnexus/src/core/ingestion/scope-resolution/passes/overload-narrowing.ts
+++ b/gitnexus/src/core/ingestion/scope-resolution/passes/overload-narrowing.ts
@@ -24,15 +24,35 @@
  *      equality. An empty string in `argTypes[i]` means "unknown" and
  *      counts as a match. Mismatches disqualify. A non-empty typed
  *      result wins; otherwise return the arity-filtered candidates.
+ *   4b. When the exact-type filter from step 4 returns empty AND a
+ *       `conversionRankFn` is provided, rank candidates via pairwise
+ *       dominance comparison (ISO C++ [over.ics.rank]): F1 beats F2
+ *       only when F1 is not worse for every arg and better for at
+ *       least one. Non-dominated candidates are returned; multiple
+ *       survivors are genuinely ambiguous.
  *   5. Empty input returns empty output.
  */
 
 import type { SymbolDefinition } from 'gitnexus-shared';
 
+/**
+ * Per-slot conversion-rank function. Returns a numeric cost for
+ * converting `argType` to `paramType`:
+ *   - 0 = exact match (no conversion)
+ *   - 1 = promotion (e.g. char→int, bool→int in C++)
+ *   - 2 = standard conversion (e.g. int→double)
+ *   - Infinity = incompatible types
+ *
+ * Each language provides its own implementation. The function operates
+ * on normalized type strings (output of the language's type normalizer).
+ */
+export type ConversionRankFn = (argType: string, paramType: string) => number;
+
 export function narrowOverloadCandidates(
   overloads: readonly SymbolDefinition[],
   argCount: number | undefined,
   argTypes: readonly string[] | undefined,
+  conversionRankFn?: ConversionRankFn,
 ): readonly SymbolDefinition[] {
   if (overloads.length === 0) return [];
 
@@ -84,11 +104,98 @@ export function narrowOverloadCandidates(
       return true;
     });
     if (typed.length > 0) return typed;
+
+    // ── Conversion-rank scoring (step 4b) ──────────────────────────
+    // The exact-type filter above rejected every candidate. When a
+    // per-language conversion-rank function is available, rank via
+    // pairwise dominance: F1 beats F2 only when F1 is not worse for
+    // every arg and better for at least one. Non-dominated candidates
+    // are returned; multiple survivors are genuinely ambiguous.
+    if (conversionRankFn !== undefined) {
+      const ranked = rankByConversion(candidates, argTypes, conversionRankFn);
+      if (ranked.length > 0) return ranked;
+    }
   }
 
   return candidates;
 }
 
+/**
+ * Pairwise dominance comparison (ISO C++ [over.ics.rank]).
+ *
+ * F1 is a better match than F2 when F1's conversion rank is **not
+ * worse** for every argument AND **strictly better** for at least one.
+ * Candidates dominated by any other viable candidate are removed.
+ * If more than one non-dominated candidate remains, they are genuinely
+ * ambiguous — callers suppress the edge rather than picking arbitrarily.
+ *
+ * Candidates with at least one `Infinity`-ranked slot (incompatible
+ * type) are excluded before pairwise comparison begins.
+ */
+function rankByConversion(
+  candidates: readonly SymbolDefinition[],
+  argTypes: readonly string[],
+  rankFn: ConversionRankFn,
+): readonly SymbolDefinition[] {
+  // Step 1: compute per-slot ranks and exclude non-viable candidates.
+  const viable: Array<{ def: SymbolDefinition; ranks: number[] }> = [];
+  for (const d of candidates) {
+    const params = d.parameterTypes;
+    if (params === undefined) continue;
+    const ranks: number[] = [];
+    let ok = true;
+    for (let i = 0; i < argTypes.length && i < params.length; i++) {
+      if (argTypes[i] === '') {
+        ranks.push(0); // unknown arg → any-match (rank 0)
+        continue;
+      }
+      const r = rankFn(argTypes[i], params[i]);
+      if (!isFinite(r)) {
+        ok = false;
+        break;
+      }
+      ranks.push(r);
+    }
+    if (!ok) continue;
+    viable.push({ def: d, ranks });
+  }
+  if (viable.length <= 1) return viable.map((v) => v.def);
+
+  // Step 2: pairwise dominance — remove candidates dominated by any other.
+  const dominated = new Set<number>();
+  for (let i = 0; i < viable.length; i++) {
+    if (dominated.has(i)) continue;
+    for (let j = i + 1; j < viable.length; j++) {
+      if (dominated.has(j)) continue;
+      const cmp = pairwiseCompare(viable[i].ranks, viable[j].ranks);
+      if (cmp < 0)
+        dominated.add(j); // i dominates j
+      else if (cmp > 0) dominated.add(i); // j dominates i
+    }
+  }
+  return viable.filter((_, idx) => !dominated.has(idx)).map((v) => v.def);
+}
+
+/**
+ * Compare two per-slot rank vectors.
+ * Returns  -1 if `a` dominates `b` (not worse everywhere, better somewhere),
+ *          +1 if `b` dominates `a`,
+ *           0 if neither dominates (incomparable or equal).
+ */
+function pairwiseCompare(a: readonly number[], b: readonly number[]): -1 | 0 | 1 {
+  let aBetter = false;
+  let bBetter = false;
+  const len = Math.min(a.length, b.length);
+  for (let i = 0; i < len; i++) {
+    if (a[i] < b[i]) aBetter = true;
+    else if (b[i] < a[i]) bBetter = true;
+    if (aBetter && bBetter) return 0; // incomparable — early exit
+  }
+  if (aBetter && !bBetter) return -1;
+  if (bBetter && !aBetter) return 1;
+  return 0;
+}
+
 /**
  * Detect when >1 candidate share identical `parameterTypes` after the
  * per-language normalizer has collapsed distinct underlying types. This
diff --git a/gitnexus/src/core/ingestion/scope-resolution/passes/receiver-bound-calls.ts b/gitnexus/src/core/ingestion/scope-resolution/passes/receiver-bound-calls.ts
index 92b4c1ac1f..ffc29d1763 100644
--- a/gitnexus/src/core/ingestion/scope-resolution/passes/receiver-bound-calls.ts
+++ b/gitnexus/src/core/ingestion/scope-resolution/passes/receiver-bound-calls.ts
@@ -73,6 +73,7 @@ type ReceiverBoundProviderSubset = Pick<
   | 'hoistTypeBindingsToModule'
   | 'resolveQualifiedReceiverMember'
   | 'resolveThisViaEnclosingClass'
+  | 'conversionRankFn'
 >;
 
 function normalizeTemplateArgToken(value: string): string {
@@ -343,6 +344,7 @@ export function emitReceiverBoundCalls(
                 methodOverloads,
                 site.arity,
                 site.argumentTypes,
+                provider.conversionRankFn,
               );
               if (isOverloadAmbiguousAfterNormalization(narrowed, site.arity)) {
                 ambiguous = true;
@@ -356,6 +358,12 @@ export function emitReceiverBoundCalls(
                 hiddenByName = true;
                 break;
               }
+              // Multiple tied survivors with distinct param types (e.g.
+              // h(int,double) vs h(double,int) both scoring 2) → ambiguous.
+              if (narrowed.length > 1) {
+                ambiguous = true;
+                break;
+              }
               memberDef = narrowed[0] ?? methodOverloads[0];
               break;
             }
@@ -640,7 +648,13 @@ export function emitReceiverBoundCalls(
           let memberDef: SymbolDefinition | undefined;
           let ambiguous = false;
           for (const ownerId of chain) {
-            const picked = pickOverload(ownerId, memberName, site, model);
+            const picked = pickOverload(
+              ownerId,
+              memberName,
+              site,
+              model,
+              provider.conversionRankFn,
+            );
             if (picked === OVERLOAD_AMBIGUOUS) {
               ambiguous = true;
               break;
@@ -708,6 +722,7 @@ function pickOverload(
   memberName: string,
   site: ParsedFile['referenceSites'][number],
   model: SemanticModel,
+  conversionRankFn?: (argType: string, paramType: string) => number,
 ): SymbolDefinition | typeof OVERLOAD_AMBIGUOUS | undefined {
   const overloads = model.methods.lookupAllByOwner(ownerId, memberName);
   if (overloads.length === 0) {
@@ -718,7 +733,12 @@ function pickOverload(
   }
   if (overloads.length === 1) return overloads[0];
 
-  const candidates = narrowOverloadCandidates(overloads, site.arity, site.argumentTypes);
+  const candidates = narrowOverloadCandidates(
+    overloads,
+    site.arity,
+    site.argumentTypes,
+    conversionRankFn,
+  );
   // When narrowing leaves >1 candidate that share identical normalized
   // parameter-types (e.g., C++ `f(int)` vs `f(long)` both collapsed to
   // `['int']` by `normalizeCppParamType`), suppress the edge entirely.
@@ -726,6 +746,11 @@ function pickOverload(
   // would arbitrarily pick a candidate and lie about the call's target.
   // PR #1520 review follow-up plan U2 / Claude review Finding 5.
   if (isOverloadAmbiguousAfterNormalization(candidates, site.arity)) return OVERLOAD_AMBIGUOUS;
+  // When conversion-rank scoring leaves >1 tied candidate with distinct
+  // parameter types (e.g. h(int,double) vs h(double,int) both scoring 2),
+  // suppress rather than picking arbitrarily — C++ would call this
+  // ambiguous. Mirrors ADL merged-candidate suppression behavior.
+  if (candidates.length > 1) return OVERLOAD_AMBIGUOUS;
   return candidates[0] ?? overloads[0];
 }
 
diff --git a/gitnexus/src/core/ingestion/scope-resolution/pipeline/run.ts b/gitnexus/src/core/ingestion/scope-resolution/pipeline/run.ts
index 0809d59caf..5493368da8 100644
--- a/gitnexus/src/core/ingestion/scope-resolution/pipeline/run.ts
+++ b/gitnexus/src/core/ingestion/scope-resolution/pipeline/run.ts
@@ -382,6 +382,7 @@ export function runScopeResolution(
       isFileLocalDef: provider.isFileLocalDef,
       isCallableVisibleFromCaller: provider.isCallableVisibleFromCaller,
       resolveAdlCandidates: provider.resolveAdlCandidates,
+      conversionRankFn: provider.conversionRankFn,
     },
   );
   const { emitted, skipped } = emitReferencesViaLookup(
diff --git a/gitnexus/test/fixtures/lang-resolution/cpp-overload-conversion-rank/lib.cpp b/gitnexus/test/fixtures/lang-resolution/cpp-overload-conversion-rank/lib.cpp
new file mode 100644
index 0000000000..cd9c51210a
--- /dev/null
+++ b/gitnexus/test/fixtures/lang-resolution/cpp-overload-conversion-rank/lib.cpp
@@ -0,0 +1,10 @@
+#include "lib.h"
+
+void Service::f(int x) {}
+void Service::f(double x) {}
+void Service::g(int x) {}
+void Service::g(long x) {}
+void Service::h(int a, int b) {}
+void Service::h(double a, double b) {}
+void Service::p(int x) {}
+void Service::p(double x) {}
diff --git a/gitnexus/test/fixtures/lang-resolution/cpp-overload-conversion-rank/lib.h b/gitnexus/test/fixtures/lang-resolution/cpp-overload-conversion-rank/lib.h
new file mode 100644
index 0000000000..5a367ba4b4
--- /dev/null
+++ b/gitnexus/test/fixtures/lang-resolution/cpp-overload-conversion-rank/lib.h
@@ -0,0 +1,33 @@
+#pragma once
+
+class Service {
+public:
+  // Variant 1 & 3: f(int) vs f(double)
+  void f(int x);
+  void f(double x);
+
+  // Variant 2: g(int) vs g(long) — both normalize to 'int'
+  void g(int x);
+  void g(long x);
+
+  // Variant 4: multi-arg tied total score
+  void h(int a, int b);
+  void h(double a, double b);
+
+  // Variant 5: char-literal promotion (exercises conversion ranker)
+  void p(int x);
+  void p(double x);
+
+  // Inline: call sites live inside the class scope so the scope-chain
+  // walk finds the Class scope, enabling pickImplicitThisOverload to
+  // resolve overloads against the declaration-side Method nodes (which
+  // carry distinct parameterTypes and graph-node IDs).
+  void run() {
+    f(2.5);     // Variant 1: double literal -> f(double) wins (exact > standard)
+    f(42);      // Variant 3: int literal -> f(int) wins (exact > standard)
+    g(42);      // Variant 2: int/long both normalize to 'int' -> ambiguous
+    h(42, 2.5); // Variant 4: incomparable — neither dominates the other -> ambiguous
+    h('a', 2.5);// Variant 6: asymmetric — h(int,int) better at arg0 (promotion), h(double,double) better at arg1 (exact) -> ambiguous
+    p('a');     // Variant 5: char literal -> p(int) wins via promotion (rank 1 < rank 2)
+  }
+};
diff --git a/gitnexus/test/integration/resolvers/cpp.test.ts b/gitnexus/test/integration/resolvers/cpp.test.ts
index de0ad96325..8e2eaf37ff 100644
--- a/gitnexus/test/integration/resolvers/cpp.test.ts
+++ b/gitnexus/test/integration/resolvers/cpp.test.ts
@@ -1762,6 +1762,80 @@ describe('C++ ambiguous integer-width overloads', () => {
   });
 });
 
+// ---------------------------------------------------------------------------
+// C++ overload resolution: standard-conversion-sequence ranking (#1578)
+// Disambiguates overloads when exact normalized-type matching cannot,
+// by scoring each candidate's conversion cost. Exact match (rank 0) wins
+// over standard conversion (rank 2); same-rank ties still suppress.
+// ---------------------------------------------------------------------------
+
+describe('C++ overload resolution — conversion-rank disambiguation (#1578)', () => {
+  let result: PipelineResult;
+
+  beforeAll(async () => {
+    result = await runPipelineFromRepo(
+      path.join(FIXTURES, 'cpp-overload-conversion-rank'),
+      () => {},
+    );
+  }, 60000);
+
+  it('f(2.5) resolves to f(double) — exact match beats standard conversion', () => {
+    const calls = getRelationships(result, 'CALLS');
+    const fCalls = calls.filter((c) => c.source === 'run' && c.target === 'f');
+    // Conversion-rank scoring picks f(double) as the unique best:
+    // f(double) is exact match (rank 0), f(int) is standard conversion (rank 2).
+    const fDoubleEdges = fCalls.filter((c) => {
+      const tgt = result.graph.getNode(c.rel.targetId);
+      return tgt?.properties.parameterTypes?.[0] === 'double';
+    });
+    expect(fDoubleEdges.length).toBe(1);
+  });
+
+  it('f(42) resolves to f(int) — exact match beats standard conversion', () => {
+    const calls = getRelationships(result, 'CALLS');
+    const fCalls = calls.filter((c) => c.source === 'run' && c.target === 'f');
+    // f(int) is exact match (rank 0), f(double) is standard conversion (rank 2).
+    const fIntEdges = fCalls.filter((c) => {
+      const tgt = result.graph.getNode(c.rel.targetId);
+      return tgt?.properties.parameterTypes?.[0] === 'int';
+    });
+    expect(fIntEdges.length).toBe(1);
+  });
+
+  it('g(42) emits zero CALLS edges — int/long normalize to same type, ambiguous', () => {
+    const calls = getRelationships(result, 'CALLS');
+    const gCalls = calls.filter((c) => c.source === 'run' && c.target === 'g');
+    // g(int) and g(long) both normalize to parameterTypes=['int'],
+    // so isOverloadAmbiguousAfterNormalization triggers suppression.
+    expect(gCalls.length).toBe(0);
+  });
+
+  it("p('a') resolves to p(int) — char promotion (rank 1) beats char→double conversion (rank 2)", () => {
+    const calls = getRelationships(result, 'CALLS');
+    const pCalls = calls.filter((c) => c.source === 'run' && c.target === 'p');
+    // p('a'): argType='char'. Exact-type filter misses both p(int) and
+    // p(double), forcing the conversion ranker (step 4b). char→int is an
+    // integral promotion (rank 1), char→double is a standard conversion
+    // (rank 2). p(int) wins with the lower total cost.
+    expect(pCalls.length).toBe(1);
+    const tgt = result.graph.getNode(pCalls[0].rel.targetId);
+    expect(tgt?.properties.parameterTypes?.[0]).toBe('int');
+  });
+
+  it('h(42, 2.5) emits zero CALLS edges — incomparable multi-arg overloads, ambiguous', () => {
+    const calls = getRelationships(result, 'CALLS');
+    const hCalls = calls.filter((c) => c.source === 'run' && c.target === 'h');
+    // h(42, 2.5) + h('a', 2.5): both call sites produce incomparable
+    // pairwise rankings. For h(42, 2.5) with argTypes=['int','double']:
+    //   h(int,int):    [rank('int','int')=0,  rank('double','int')=2]
+    //   h(double,double): [rank('int','double')=2, rank('double','double')=0]
+    // h(int,int) better at arg0, h(double,double) better at arg1 → neither
+    // dominates → ambiguous. Same pattern for h('a',2.5).
+    // Contract: zero edges for ALL h() call sites combined (dedup).
+    expect(hCalls.length).toBe(0);
+  });
+});
+
 // ---------------------------------------------------------------------------
 // U3: anonymous-namespace symbols MUST NOT leak across translation units
 // (full-pipeline integration test; unit-level coverage exists separately)
diff --git a/gitnexus/test/integration/resolvers/helpers.ts b/gitnexus/test/integration/resolvers/helpers.ts
index ae2a75f048..bc18b0374d 100644
--- a/gitnexus/test/integration/resolvers/helpers.ts
+++ b/gitnexus/test/integration/resolvers/helpers.ts
@@ -175,6 +175,19 @@ const LEGACY_RESOLVER_PARITY_EXPECTED_FAILURES: Readonly<Record<string, Readonly
     'Derived<T>::g_unqualified() -> f() does NOT bind to Base<T>::f',
     'Derived<T>::g_this() -> this->f() resolves to Base<T>::f (1 edge)',
     'Derived<T>::g() -> this->f() emits zero CALLS edges when only hidden derived overload is arity-incompatible',
+    // Conversion-rank scoring (#1578) disambiguates `f(int)` vs `f(double)`
+    // by ranking exact match over standard conversion. The legacy DAG has no
+    // conversion-rank scoring; it either picks arbitrarily or leaves the call
+    // unresolved. Scope-resolver-only correctness win.
+    'f(2.5) resolves to f(double) — exact match beats standard conversion',
+    'f(42) resolves to f(int) — exact match beats standard conversion',
+    'g(42) emits zero CALLS edges — int/long normalize to same type, ambiguous',
+    // char-literal promotion exercises the conversion ranker (step 4b).
+    // Legacy DAG has no conversion-rank scoring. Scope-resolver-only.
+    "p('a') resolves to p(int) — char promotion (rank 1) beats char→double conversion (rank 2)",
+    // Multi-arg incomparable overloads: pairwise dominance check finds
+    // neither h(int,int) nor h(double,double) dominates. Scope-resolver-only.
+    'h(42, 2.5) emits zero CALLS edges — incomparable multi-arg overloads, ambiguous',
     // The legacy DAG path has no inline-namespace same-name ambiguity
     // detection. When two inline children declare the same name, the
     // legacy path picks an arbitrary match. The scope-resolver returns