diff --git a/Parsing/Parser.Classes.cs b/Parsing/Parser.Classes.cs
index a14df97d..c7cc839a 100644
--- a/Parsing/Parser.Classes.cs
+++ b/Parsing/Parser.Classes.cs
@@ -306,6 +306,15 @@ private Stmt ClassDeclaration(bool isAbstract, List<Decorator>? classDecorators
             // Check for computed property name: [expression]: type = value
             else if (Check(TokenType.LEFT_BRACKET))
             {
+                // Index signature: [key: string|number|symbol]: ValueType. Distinguished from a
+                // computed property name ([expr]: T) by an identifier immediately followed by ':'.
+                // Parsed here so the class body no longer hits a ParseError; full modeling of the
+                // index type on the class is deferred (see issue #121).
+                if (TryConsumeClassIndexSignature())
+                {
+                    continue;
+                }
+
                 // Validate: computed properties cannot have access modifiers in TypeScript
                 // Actually TypeScript does allow this, so we'll support it
 
@@ -497,6 +506,34 @@ private Stmt ClassDeclaration(bool isAbstract, List<Decorator>? classDecorators
         return new Stmt.Class(name, typeParams, superclassExpr, superclassTypeArgs, methods, fields, accessors.Count > 0 ? accessors : null, autoAccessors.Count > 0 ? autoAccessors : null, interfaces, interfaceTypeArgs, isAbstract, classDecorators, isDeclare, staticInitializers.Count > 0 ? staticInitializers : null);
     }
 
+    /// <summary>
+    /// Probes for a class index signature: <c>[key: string|number|symbol]: ValueType</c>.
+    /// Must be called positioned at the opening <c>[</c>. On a match, consumes the whole signature
+    /// (and its terminator) and returns true; on no match, restores position and returns false so
+    /// the caller can fall through to computed-property-name parsing. The parsed value type is
+    /// currently discarded — modeling the index type on the class type is deferred (issue #121).
+    /// </summary>
+    private bool TryConsumeClassIndexSignature()
+    {
+        int saved = _current;
+
+        if (!Match(TokenType.LEFT_BRACKET)) { _current = saved; return false; }
+        if (!Check(TokenType.IDENTIFIER)) { _current = saved; return false; }
+        Advance(); // key name
+        if (!Match(TokenType.COLON)) { _current = saved; return false; }
+        if (!Match(TokenType.TYPE_STRING, TokenType.TYPE_NUMBER, TokenType.TYPE_SYMBOL))
+        {
+            _current = saved;
+            return false;
+        }
+        if (!Match(TokenType.RIGHT_BRACKET)) { _current = saved; return false; }
+        if (!Match(TokenType.COLON)) { _current = saved; return false; }
+
+        ParseTypeAnnotation(); // value type (validated, then discarded)
+        ConsumeSemicolon("Expect ';' after index signature.");
+        return true;
+    }
+
     /// <summary>
     /// Synchronizes within a class body, stopping at member boundaries or the closing brace.
     /// </summary>
diff --git a/Parsing/Parser.Types.cs b/Parsing/Parser.Types.cs
index dfa15640..3b581654 100644
--- a/Parsing/Parser.Types.cs
+++ b/Parsing/Parser.Types.cs
@@ -562,8 +562,26 @@ private string ParseInlineObjectType()
 
                 members.Add($"[{keyType}]: {valueType}");
             }
+            // Construct signature: new (params): ReturnType or new <T>(params): ReturnType
+            else if (Check(TokenType.NEW))
+            {
+                Advance(); // consume 'new'
+                // ParseMethodSignature consumes optional <generics>, the params, and the return
+                // type, producing an arrow string "(params) => ret"; prefix "new " for a
+                // construct signature so ParseInlineObjectTypeInfo can tell the two apart.
+                members.Add("new " + ParseMethodSignature());
+            }
+            // Call signature: (params): ReturnType or <T>(params): ReturnType
+            else if (Check(TokenType.LEFT_PAREN) || (Check(TokenType.LESS) && IsCallSignatureStart()))
+            {
+                members.Add(ParseMethodSignature());
+            }
             else
             {
+                // Optional readonly modifier on a property member
+                bool isReadonly = Match(TokenType.READONLY);
+                _ = isReadonly; // readonly is parsed but not yet modeled on inline object types
+
                 // Parse property/method name
                 Token propertyName = Consume(TokenType.IDENTIFIER, "Expect property name in object type.");
 
diff --git a/SharpTS.TypeScriptConformance/baselines/interpreted.txt b/SharpTS.TypeScriptConformance/baselines/interpreted.txt
index 3c480c78..94db057d 100644
--- a/SharpTS.TypeScriptConformance/baselines/interpreted.txt
+++ b/SharpTS.TypeScriptConformance/baselines/interpreted.txt
@@ -12,15 +12,15 @@ tests/cases/conformance/types/typeRelationships/assignmentCompatibility/anyAssig
 tests/cases/conformance/types/typeRelationships/assignmentCompatibility/anyAssignableToEveryType.ts Pass
 tests/cases/conformance/types/typeRelationships/assignmentCompatibility/anyAssignableToEveryType2.ts ParseError
 tests/cases/conformance/types/typeRelationships/assignmentCompatibility/assignmentCompatBetweenTupleAndArray.ts Fail
-tests/cases/conformance/types/typeRelationships/assignmentCompatibility/assignmentCompatWithCallSignatures.ts ParseError
+tests/cases/conformance/types/typeRelationships/assignmentCompatibility/assignmentCompatWithCallSignatures.ts Fail
 tests/cases/conformance/types/typeRelationships/assignmentCompatibility/assignmentCompatWithCallSignatures2.ts Fail
 tests/cases/conformance/types/typeRelationships/assignmentCompatibility/assignmentCompatWithCallSignatures3.ts ParseError
 tests/cases/conformance/types/typeRelationships/assignmentCompatibility/assignmentCompatWithCallSignatures4.ts ParseError
-tests/cases/conformance/types/typeRelationships/assignmentCompatibility/assignmentCompatWithCallSignatures5.ts ParseError
+tests/cases/conformance/types/typeRelationships/assignmentCompatibility/assignmentCompatWithCallSignatures5.ts Fail
 tests/cases/conformance/types/typeRelationships/assignmentCompatibility/assignmentCompatWithCallSignatures6.ts Fail
 tests/cases/conformance/types/typeRelationships/assignmentCompatibility/assignmentCompatWithCallSignaturesWithOptionalParameters.ts ParseError
 tests/cases/conformance/types/typeRelationships/assignmentCompatibility/assignmentCompatWithCallSignaturesWithRestParameters.ts ParseError
-tests/cases/conformance/types/typeRelationships/assignmentCompatibility/assignmentCompatWithConstructSignatures.ts ParseError
+tests/cases/conformance/types/typeRelationships/assignmentCompatibility/assignmentCompatWithConstructSignatures.ts Fail
 tests/cases/conformance/types/typeRelationships/assignmentCompatibility/assignmentCompatWithConstructSignatures2.ts ParseError
 tests/cases/conformance/types/typeRelationships/assignmentCompatibility/assignmentCompatWithConstructSignatures3.ts ParseError
 tests/cases/conformance/types/typeRelationships/assignmentCompatibility/assignmentCompatWithConstructSignatures4.ts ParseError
@@ -31,7 +31,7 @@ tests/cases/conformance/types/typeRelationships/assignmentCompatibility/assignme
 tests/cases/conformance/types/typeRelationships/assignmentCompatibility/assignmentCompatWithEnumIndexer.ts Fail
 tests/cases/conformance/types/typeRelationships/assignmentCompatibility/assignmentCompatWithGenericCallSignatures.ts Pass
 tests/cases/conformance/types/typeRelationships/assignmentCompatibility/assignmentCompatWithGenericCallSignatures2.ts Fail
-tests/cases/conformance/types/typeRelationships/assignmentCompatibility/assignmentCompatWithGenericCallSignatures3.ts ParseError
+tests/cases/conformance/types/typeRelationships/assignmentCompatibility/assignmentCompatWithGenericCallSignatures3.ts Pass
 tests/cases/conformance/types/typeRelationships/assignmentCompatibility/assignmentCompatWithGenericCallSignatures4.ts Fail
 tests/cases/conformance/types/typeRelationships/assignmentCompatibility/assignmentCompatWithGenericCallSignaturesWithOptionalParameters.ts ParseError
 tests/cases/conformance/types/typeRelationships/assignmentCompatibility/assignmentCompatWithNumericIndexer.ts ParseError
@@ -54,7 +54,7 @@ tests/cases/conformance/types/typeRelationships/assignmentCompatibility/assignme
 tests/cases/conformance/types/typeRelationships/assignmentCompatibility/callSignatureAssignabilityInInheritance.ts ParseError
 tests/cases/conformance/types/typeRelationships/assignmentCompatibility/callSignatureAssignabilityInInheritance2.ts ParseError
 tests/cases/conformance/types/typeRelationships/assignmentCompatibility/callSignatureAssignabilityInInheritance3.ts ParseError
-tests/cases/conformance/types/typeRelationships/assignmentCompatibility/callSignatureAssignabilityInInheritance4.ts ParseError
+tests/cases/conformance/types/typeRelationships/assignmentCompatibility/callSignatureAssignabilityInInheritance4.ts Pass
 tests/cases/conformance/types/typeRelationships/assignmentCompatibility/callSignatureAssignabilityInInheritance5.ts ParseError
 tests/cases/conformance/types/typeRelationships/assignmentCompatibility/callSignatureAssignabilityInInheritance6.ts Fail
 tests/cases/conformance/types/typeRelationships/assignmentCompatibility/constructSignatureAssignabilityInInheritance.ts ParseError
diff --git a/TypeSystem/TypeChecker.TypeParsing.cs b/TypeSystem/TypeChecker.TypeParsing.cs
index 599302c0..400d5e23 100644
--- a/TypeSystem/TypeChecker.TypeParsing.cs
+++ b/TypeSystem/TypeChecker.TypeParsing.cs
@@ -796,6 +796,8 @@ private TypeInfo ParseInlineObjectTypeInfo(string objStr)
         TypeInfo? stringIndexType = null;
         TypeInfo? numberIndexType = null;
         TypeInfo? symbolIndexType = null;
+        List<string> callSignatures = [];
+        bool hasConstructSignature = false;
 
         // Split by semicolon (the separator used in ParseInlineObjectType)
         var members = SplitObjectMembers(inner.AsSpan());
@@ -805,6 +807,22 @@ private TypeInfo ParseInlineObjectTypeInfo(string objStr)
             string m = member.Trim();
             if (string.IsNullOrEmpty(m)) continue;
 
+            // Construct signature: "new (params) => ret" (emitted by ParseInlineObjectType).
+            // Not yet modeled on object types; recognized here so it doesn't mis-parse as a field.
+            if (m.StartsWith("new ") && m.Contains("=>"))
+            {
+                hasConstructSignature = true;
+                continue;
+            }
+
+            // Call signature: "(params) => ret" or "<T>(params) => ret" — a bare signature with
+            // no leading "name:". (Method/arrow properties start with their name, so don't collide.)
+            if ((m.StartsWith("(") || m.StartsWith("<")) && m.Contains("=>"))
+            {
+                callSignatures.Add(m);
+                continue;
+            }
+
             // Check for index signature: [string]: type, [number]: type, [symbol]: type
             if (m.StartsWith("["))
             {
@@ -853,6 +871,16 @@ private TypeInfo ParseInlineObjectTypeInfo(string objStr)
             fields[propName] = ToTypeInfo(propType);
         }
 
+        // A pure single call-signature object type (e.g. `{ (x: number): void }`) is structurally
+        // a function type — resolve it as such so it type-checks against function types correctly.
+        // Mixed/overloaded/construct cases aren't modeled yet; their named fields still form a
+        // Record that reaches the checker (signatures are dropped, not turned into bogus fields).
+        if (callSignatures.Count == 1 && fields.Count == 0 && !hasConstructSignature
+            && stringIndexType == null && numberIndexType == null && symbolIndexType == null)
+        {
+            return ToTypeInfo(callSignatures[0]);
+        }
+
         return new TypeInfo.Record(
             fields.ToFrozenDictionary(),
             stringIndexType,