diff --git a/openapi_core/unmarshalling/schemas/unmarshallers.py b/openapi_core/unmarshalling/schemas/unmarshallers.py
index 015edff8..ef0fdb70 100644
--- a/openapi_core/unmarshalling/schemas/unmarshallers.py
+++ b/openapi_core/unmarshalling/schemas/unmarshallers.py
@@ -253,6 +253,10 @@ def __call__(self, value=NoValue):
         if one_of_schema:
             return self.unmarshallers_factory.create(one_of_schema)(value)
 
+        all_of_schema = self._get_all_of_schema(value)
+        if all_of_schema:
+            return self.unmarshallers_factory.create(all_of_schema)(value)
+
         for schema_type in self.SCHEMA_TYPES_ORDER:
             unmarshaller = self.unmarshallers_factory.create(
                 self.schema, type_override=schema_type)
@@ -278,3 +282,17 @@ def _get_one_of_schema(self, value):
                 continue
             else:
                 return subschema
+
+    def _get_all_of_schema(self, value):
+        if not self.schema.all_of:
+            return
+        for subschema in self.schema.all_of:
+            if subschema.type == SchemaType.ANY:
+                continue
+            unmarshaller = self.unmarshallers_factory.create(subschema)
+            try:
+                unmarshaller.validate(value)
+            except ValidateError:
+                continue
+            else:
+                return subschema
diff --git a/tests/integration/data/v3.0/petstore.yaml b/tests/integration/data/v3.0/petstore.yaml
index a056d3ff..1785a5b7 100644
--- a/tests/integration/data/v3.0/petstore.yaml
+++ b/tests/integration/data/v3.0/petstore.yaml
@@ -329,6 +329,7 @@ components:
         message:
           type: string
     ExtendedError:
+      type: object
       x-model: ExtendedError
       allOf:
         - $ref: "#/components/schemas/Error"
diff --git a/tests/unit/unmarshalling/test_unmarshal.py b/tests/unit/unmarshalling/test_unmarshal.py
index b97b7f81..72033fd9 100644
--- a/tests/unit/unmarshalling/test_unmarshal.py
+++ b/tests/unit/unmarshalling/test_unmarshal.py
@@ -466,6 +466,23 @@ def test_schema_any_one_of(self, unmarshaller_factory):
         ])
         assert unmarshaller_factory(schema)(['hello']) == ['hello']
 
+    def test_schema_any_all_of(self, unmarshaller_factory):
+        schema = Schema(all_of=[
+            Schema('array', items=Schema('string')),
+        ])
+        assert unmarshaller_factory(schema)(['hello']) == ['hello']
+
+    def test_schema_any_all_of_any(self, unmarshaller_factory):
+        schema = Schema(all_of=[
+            Schema(),
+            Schema('string', schema_format='date'),
+        ])
+        value = '2018-01-02'
+
+        result = unmarshaller_factory(schema)(value)
+
+        assert result == datetime.date(2018, 1, 2)
+
     def test_schema_any(self, unmarshaller_factory):
         schema = Schema()
         assert unmarshaller_factory(schema)('string') == 'string'