diff --git a/package.json b/package.json
index 1f781ed..25e982a 100644
--- a/package.json
+++ b/package.json
@@ -2,9 +2,7 @@
   "name": "fast-check-io-ts",
   "version": "0.4.0",
   "description": "io-ts codec to fast-check arbitrary mapping",
-  "files": [
-    "lib"
-  ],
+  "files": ["lib"],
   "main": "lib/index.js",
   "typings": "lib/index.d.ts",
   "repository": {
@@ -27,14 +25,7 @@
     "lint": "tslint -p tsconfig.json src/*.ts",
     "dtslint": "dtslint dtslint"
   },
-  "keywords": [
-    "fast-check",
-    "io-ts",
-    "typescript",
-    "arbitrary",
-    "generative",
-    "testing"
-  ],
+  "keywords": ["fast-check", "io-ts", "typescript", "arbitrary", "generative", "testing"],
   "author": "Giovanni Gonzaga <giovanni@buildo.io>",
   "license": "MIT",
   "devDependencies": {
@@ -49,12 +40,13 @@
     "rimraf": "^2.6.3",
     "ts-jest": "^24.0.2",
     "tslint": "^5.18.0",
-    "typescript": "^3.5.3"
+    "typescript": "^3.5.3",
+    "io-ts-types": "^0.5.6"
   },
   "peerDependencies": {
     "fast-check": "^1.16.0",
-    "io-ts": "^2.0.0",
-    "fp-ts": "^2.0.0"
+    "fp-ts": "^2.0.0",
+    "io-ts": "^2.0.0"
   },
   "jest": {
     "preset": "ts-jest"
diff --git a/src/index.ts b/src/index.ts
index dce67cb..9043385 100644
--- a/src/index.ts
+++ b/src/index.ts
@@ -32,6 +32,10 @@ export type HasArbitrary =
   | IntersectionType
   | BrandedType;
 
+interface Overrides {
+  [key: string]: fc.Arbitrary<any>;
+}
+
 function getProps(codec: t.InterfaceType<any> | t.ExactType<any> | t.PartialType<any>): t.Props {
   switch (codec._tag) {
     case 'InterfaceType':
@@ -44,11 +48,11 @@ function getProps(codec: t.InterfaceType<any> | t.ExactType<any> | t.PartialType
 
 const objectTypes = ['ExactType', 'InterfaceType', 'PartialType'];
 
-export function getArbitrary<T extends HasArbitrary>(codec: T): fc.Arbitrary<t.TypeOf<T>> {
+export function getArbitrary<T extends HasArbitrary>(codec: T, overrides: Overrides = {}): fc.Arbitrary<t.TypeOf<T>> {
   const type: HasArbitrary = codec as any;
   switch (type._tag) {
     case 'UnknownType':
-      return fc.anything();
+      return fc.anything() as any;
     case 'UndefinedType':
     case 'VoidType':
       return fc.constant(undefined) as any;
@@ -71,19 +75,28 @@ export function getArbitrary<T extends HasArbitrary>(codec: T): fc.Arbitrary<t.T
     case 'InterfaceType':
     case 'PartialType':
     case 'ExactType':
-      return fc.record(record.map(getProps(type), getArbitrary as any) as any) as any;
+      return fc.record(record.map(getProps(type), codec => getArbitrary(codec as any, overrides)) as any) as any;
     case 'TupleType':
-      return (fc.tuple as any)(...type.types.map(getArbitrary));
+      return (fc.tuple as any)(...type.types.map(codec => getArbitrary(codec, overrides)));
     case 'UnionType':
-      return fc.oneof(...type.types.map(getArbitrary)) as any;
+      return fc.oneof(...type.types.map(codec => getArbitrary(codec, overrides))) as any;
     case 'IntersectionType':
       const isObjectIntersection = objectTypes.includes(type.types[0]._tag);
       return isObjectIntersection
-        ? (fc.tuple as any)(...type.types.map(t => getArbitrary(t)))
+        ? (fc.tuple as any)(...type.types.map(t => getArbitrary(t, overrides)))
             .map((values: Array<object>) => Object.assign({}, ...values))
             .filter(type.is)
-        : fc.oneof(...type.types.map(t => getArbitrary(t))).filter(type.is);
+        : fc.oneof(...type.types.map(t => getArbitrary(t, overrides))).filter(type.is);
     case 'RefinementType':
       return getArbitrary(type.type).filter(type.predicate) as any;
+    default:
+      // if we cannot find the type, check whether it has been passed as an
+      // override and use that instead
+      const typeName = (type as any).name;
+      if (typeName && overrides[typeName] !== undefined) {
+        return overrides[typeName];
+      }
+      // failing that, throw an error?
+      throw Error(`Could not create an Arbitrary for ${typeName}. Consider passing in a custom override?`);
   }
 }
diff --git a/test/index.test.ts b/test/index.test.ts
index 26a06af..a4822b5 100644
--- a/test/index.test.ts
+++ b/test/index.test.ts
@@ -1,10 +1,14 @@
 import * as fc from 'fast-check';
 import * as t from 'io-ts';
 import { getArbitrary, HasArbitrary } from '../src';
+import { date } from 'io-ts-types/lib/date';
+
+// pass
+const overrides = { Date: fc.date() };
 
 function test<T extends HasArbitrary>(codec: T): void {
   it(codec.name, () => {
-    fc.assert(fc.property(getArbitrary(codec), codec.is));
+    fc.assert(fc.property(getArbitrary(codec, overrides), codec.is));
   });
 }
 
@@ -27,3 +31,4 @@ test(t.intersection([t.type({ foo: t.string }), t.partial({ bar: t.number })]));
 test(t.intersection([t.type({ foo: t.string }), t.type({ bar: t.number })]));
 test(t.intersection([t.array(t.string), t.array(t.number)]));
 test(t.record(t.string, t.number));
+test(t.type({ date }));