diff --git a/packages/safe-ds-lang/src/language/typing/safe-ds-type-checker.ts b/packages/safe-ds-lang/src/language/typing/safe-ds-type-checker.ts
index 3e065a724..7aea9d873 100644
--- a/packages/safe-ds-lang/src/language/typing/safe-ds-type-checker.ts
+++ b/packages/safe-ds-lang/src/language/typing/safe-ds-type-checker.ts
@@ -1,6 +1,7 @@
 import { getContainerOfType } from 'langium';
 import type { SafeDsClasses } from '../builtins/safe-ds-classes.js';
-import { isSdsEnum, SdsDeclaration } from '../generated/ast.js';
+import { isSdsEnum, type SdsAbstractResult, SdsDeclaration } from '../generated/ast.js';
+import { getParameters } from '../helpers/nodeProperties.js';
 import {
     BooleanConstant,
     Constant,
@@ -16,6 +17,7 @@ import {
     EnumType,
     EnumVariantType,
     LiteralType,
+    NamedTupleEntry,
     NamedTupleType,
     StaticType,
     Type,
@@ -24,16 +26,19 @@ import {
 } from './model.js';
 import { SafeDsClassHierarchy } from './safe-ds-class-hierarchy.js';
 import { SafeDsCoreTypes } from './safe-ds-core-types.js';
+import type { SafeDsTypeComputer } from './safe-ds-type-computer.js';
 
 export class SafeDsTypeChecker {
     private readonly builtinClasses: SafeDsClasses;
     private readonly classHierarchy: SafeDsClassHierarchy;
     private readonly coreTypes: SafeDsCoreTypes;
+    private readonly typeComputer: () => SafeDsTypeComputer;
 
     constructor(services: SafeDsServices) {
         this.builtinClasses = services.builtins.Classes;
         this.classHierarchy = services.types.ClassHierarchy;
         this.coreTypes = services.types.CoreTypes;
+        this.typeComputer = () => services.types.TypeComputer;
     }
 
     /**
@@ -218,8 +223,48 @@ export class SafeDsTypeChecker {
         }
     }
 
-    private staticTypeIsAssignableTo(type: Type, other: Type): boolean {
-        return type.equals(other);
+    private staticTypeIsAssignableTo(type: StaticType, other: Type): boolean {
+        if (other instanceof CallableType) {
+            return this.isAssignableTo(this.associatedCallableTypeForStaticType(type), other);
+        } else {
+            return type.equals(other);
+        }
+    }
+
+    private associatedCallableTypeForStaticType(type: StaticType): Type {
+        const instanceType = type.instanceType;
+        if (instanceType instanceof ClassType) {
+            const declaration = instanceType.declaration;
+            if (!declaration.parameterList) {
+                return UnknownType;
+            }
+
+            const parameterEntries = new NamedTupleType(
+                ...getParameters(declaration).map(
+                    (it) => new NamedTupleEntry(it, it.name, this.typeComputer().computeType(it)),
+                ),
+            );
+            const resultEntries = new NamedTupleType(
+                new NamedTupleEntry<SdsAbstractResult>(undefined, 'instance', instanceType),
+            );
+
+            return new CallableType(declaration, parameterEntries, resultEntries);
+        } else if (instanceType instanceof EnumVariantType) {
+            const declaration = instanceType.declaration;
+
+            const parameterEntries = new NamedTupleType(
+                ...getParameters(declaration).map(
+                    (it) => new NamedTupleEntry(it, it.name, this.typeComputer().computeType(it)),
+                ),
+            );
+            const resultEntries = new NamedTupleType(
+                new NamedTupleEntry<SdsAbstractResult>(undefined, 'instance', instanceType),
+            );
+
+            return new CallableType(declaration, parameterEntries, resultEntries);
+        } else {
+            return UnknownType;
+        }
     }
 
     private unionTypeIsAssignableTo(type: UnionType, other: Type): boolean {
diff --git a/packages/safe-ds-lang/tests/language/typing/safe-ds-type-checker.test.ts b/packages/safe-ds-lang/tests/language/typing/safe-ds-type-checker.test.ts
index d1e8e5b6b..8fd522e2b 100644
--- a/packages/safe-ds-lang/tests/language/typing/safe-ds-type-checker.test.ts
+++ b/packages/safe-ds-lang/tests/language/typing/safe-ds-type-checker.test.ts
@@ -19,6 +19,8 @@ import {
 } from '../../../src/language/partialEvaluation/model.js';
 import {
     ClassType,
+    EnumType,
+    EnumVariantType,
     LiteralType,
     NamedTupleEntry,
     NamedTupleType,
@@ -45,13 +47,15 @@ const code = `
     fun func8() -> (s: Int)
     fun func9() -> (r: Any)
     fun func10() -> (r: String)
+    fun func11() -> (r: Class1)
+    fun func12() -> (r: Enum1)
 
-    class Class1
-    class Class2 sub Class1
+    class Class1(p: Int)
+    class Class2() sub Class1
     class Class3
 
     enum Enum1 {
-        Variant1
+        Variant1(p: Int)
         Variant2
     }
     enum Enum2
@@ -68,6 +72,8 @@ const callableType7 = typeComputer.computeType(functions[6]);
 const callableType8 = typeComputer.computeType(functions[7]);
 const callableType9 = typeComputer.computeType(functions[8]);
 const callableType10 = typeComputer.computeType(functions[9]);
+const callableType11 = typeComputer.computeType(functions[10]);
+const callableType12 = typeComputer.computeType(functions[11]);
 
 const classes = getModuleMembers(module).filter(isSdsClass);
 const class1 = classes[0];
@@ -80,14 +86,14 @@ const classType3 = typeComputer.computeType(class3) as ClassType;
 const enums = getModuleMembers(module).filter(isSdsEnum);
 const enum1 = enums[0];
 const enum2 = enums[1];
-const enumType1 = typeComputer.computeType(enum1);
-const enumType2 = typeComputer.computeType(enum2);
+const enumType1 = typeComputer.computeType(enum1) as EnumType;
+const enumType2 = typeComputer.computeType(enum2) as EnumType;
 
 const enumVariants = streamAllContents(module).filter(isSdsEnumVariant).toArray();
 const enumVariant1 = enumVariants[0];
 const enumVariant2 = enumVariants[1];
-const enumVariantType1 = typeComputer.computeType(enumVariant1);
-const enumVariantType2 = typeComputer.computeType(enumVariant2);
+const enumVariantType1 = typeComputer.computeType(enumVariant1) as EnumVariantType;
+const enumVariantType2 = typeComputer.computeType(enumVariant2) as EnumVariantType;
 
 describe('SafeDsTypeChecker', async () => {
     const testCases: IsAssignableToTest[] = [
@@ -521,6 +527,47 @@ describe('SafeDsTypeChecker', async () => {
             type2: enumType1,
             expected: false,
         },
+        // Static type to callable type
+        {
+            type1: new StaticType(classType1),
+            type2: callableType1,
+            expected: false,
+        },
+        {
+            type1: new StaticType(classType1),
+            type2: callableType3,
+            expected: true,
+        },
+        {
+            type1: new StaticType(classType2),
+            type2: callableType11,
+            expected: true,
+        },
+        {
+            type1: new StaticType(classType3),
+            type2: callableType1,
+            expected: false,
+        },
+        {
+            type1: new StaticType(enumType1),
+            type2: callableType1,
+            expected: false,
+        },
+        {
+            type1: new StaticType(enumVariantType1),
+            type2: callableType1,
+            expected: false,
+        },
+        {
+            type1: new StaticType(enumVariantType1),
+            type2: callableType3,
+            expected: true,
+        },
+        {
+            type1: new StaticType(enumVariantType2),
+            type2: callableType12,
+            expected: true,
+        },
         // Static type to static type
         {
             type1: new StaticType(classType1),