diff --git a/src/ServiceContainer/ArgumentBuilder.php b/src/ServiceContainer/ArgumentBuilder.php
index bff9052..682c0af 100644
--- a/src/ServiceContainer/ArgumentBuilder.php
+++ b/src/ServiceContainer/ArgumentBuilder.php
@@ -5,8 +5,10 @@
 namespace IW\ServiceContainer;
 
 use IW\ServiceContainer;
+use ReflectionIntersectionType;
 use ReflectionNamedType;
 use ReflectionParameter;
+use ReflectionUnionType;
 
 trait ArgumentBuilder
 {
@@ -23,7 +25,7 @@ final protected function buildArgs(array $ids, ServiceContainer $container): arr
     {
         $args = [];
 
-        foreach ($ids as [$id, $isOptional, $default]) {
+        foreach ($ids as [$id, $isOptional, $default, $dnf]) {
             if ($isOptional) {
                 $arg = $container->instance($id);
 
@@ -31,7 +33,11 @@ final protected function buildArgs(array $ids, ServiceContainer $container): arr
                     $arg = $default;
                 }
             } else {
-                $arg = $container->get($id);
+                try {
+                    $arg = $container->get($id);
+                } catch (ServiceNotFound $e) {
+                    $dnf ? throw new CannotAutowireCompositType($id, $e) : throw $e;
+                }
             }
 
             $args[] = $arg;
@@ -67,6 +73,17 @@ final protected function resolveIds(): array
                     $classname,
                     $param->isOptional(),
                     $param->isOptional() ? $param->getDefaultValue() : null,
+                    false,
+                ];
+                continue;
+            }
+
+            if (($type instanceof ReflectionUnionType) || ($type instanceof ReflectionIntersectionType)) {
+                $ids[] = [
+                    $type->__toString(),
+                    $param->isOptional(),
+                    $param->isOptional() ? $param->getDefaultValue() : null,
+                    true,
                 ];
                 continue;
             }
diff --git a/src/ServiceContainer/CannotAutowireCompositType.php b/src/ServiceContainer/CannotAutowireCompositType.php
new file mode 100644
index 0000000..28a7de3
--- /dev/null
+++ b/src/ServiceContainer/CannotAutowireCompositType.php
@@ -0,0 +1,14 @@
+<?php
+
+declare(strict_types=1);
+
+namespace IW\ServiceContainer;
+
+class CannotAutowireCompositType extends Exception
+{
+    /** @param class-string $id */
+    public function __construct(string $id, ServiceNotFound $previous)
+    {
+        parent::__construct('Cannot autowire composit type: ' . $id . ', define a factory for it', $previous);
+    }
+}
diff --git a/tests/Fix/ClassWithDnfType.php b/tests/Fix/ClassWithDnfType.php
new file mode 100644
index 0000000..b956d59
--- /dev/null
+++ b/tests/Fix/ClassWithDnfType.php
@@ -0,0 +1,12 @@
+<?php
+
+declare(strict_types=1);
+
+namespace IW\Fix;
+
+class ClassWithDnfType
+{
+    public function __construct(private (Zero & Alias)|Fourth $dependency)
+    {
+    }
+}
diff --git a/tests/ServiceContainerTest.php b/tests/ServiceContainerTest.php
index 58fa88b..a0b1e62 100644
--- a/tests/ServiceContainerTest.php
+++ b/tests/ServiceContainerTest.php
@@ -12,6 +12,7 @@
 use IW\ServiceContainer\BrokenDependency;
 use PHPUnit\Framework\TestCase;
 use stdClass;
+use Throwable;
 
 use function random_bytes;
 use function uniqid;
@@ -105,9 +106,9 @@ public function testBindingCustomFactory(): void
 
         $this->assertIsObject($service);
         $this->assertInstanceOf('stdClass', $service);
-        $this->assertObjectHasAttribute('foo', $service);
+        $this->assertObjectHasProperty('foo', $service);
         $this->assertInstanceOf('IW\Fix\First', $service->foo);
-        $this->assertObjectHasAttribute('bar', $service);
+        $this->assertObjectHasProperty('bar', $service);
         $this->assertSame($bar, $service->bar);
     }
 
@@ -321,10 +322,13 @@ public function testUnionTypesCannotBeAutowired(): void
     {
         $container = new ServiceContainer();
 
-        $this->expectException('IW\ServiceContainer\UnsupportedAutowireParam');
-        $this->expectExceptionMessage('Unsupported type hint for param: Parameter #0 [ <required> IW\Fix\First|IW\Fix\Fourth $dependency ]');
-
-        $container->get('IW\Fix\ClassWithUnionType');
+        try {
+            $container->get('IW\Fix\ClassWithUnionType');
+        } catch (Throwable $e) {
+            $this->assertInstanceOf('IW\ServiceContainer\BrokenDependency', $e);
+            $this->assertInstanceOf('IW\ServiceContainer\CannotAutowireCompositType', $e->getPrevious());
+            $this->assertSame('Cannot autowire composit type: IW\Fix\First|IW\Fix\Fourth, define a factory for it', $e->getPrevious()->getMessage());
+        }
     }
 
     /** @requires PHP >= 8.1 */
@@ -342,10 +346,13 @@ public function testIntersectionTypesCannotBeAutowired(): void
     {
         $container = new ServiceContainer();
 
-        $this->expectException('IW\ServiceContainer\UnsupportedAutowireParam');
-        $this->expectExceptionMessage('Unsupported type hint for param: Parameter #0 [ <required> IW\Fix\Alias&IW\Fix\Zero $dependency ]');
-
-        $container->get('IW\Fix\ClassWithIntersectionType');
+        try {
+            $container->get('IW\Fix\ClassWithIntersectionType');
+        } catch (Throwable $e) {
+            $this->assertInstanceOf('IW\ServiceContainer\BrokenDependency', $e);
+            $this->assertInstanceOf('IW\ServiceContainer\CannotAutowireCompositType', $e->getPrevious());
+            $this->assertSame('Cannot autowire composit type: IW\Fix\Alias&IW\Fix\Zero, define a factory for it', $e->getPrevious()->getMessage());
+        }
     }
 
     public function testNullableParam(): void
@@ -381,4 +388,24 @@ public function testTry(): void
         $this->expectException('ParseError');
         $this->assertNull($container->try('IW\Fix\ClassWithSyntaxError'));
     }
+
+    /** @requires PHP >= 8.2 */
+    public function testBindDnfType(): void
+    {
+        $container = new ServiceContainer();
+
+        $container->bind('(IW\Fix\Zero&IW\Fix\Alias)|IW\Fix\Fourth', static fn () => $container->get('IW\Fix\Zero'));
+
+        $this->assertInstanceOf('IW\Fix\ClassWithDnfType', $container->make('IW\Fix\ClassWithDnfType'));
+    }
+
+    /** @requires PHP >= 8.2 */
+    public function testAliasDnfType(): void
+    {
+        $container = new ServiceContainer();
+
+        $container->alias('(IW\Fix\Zero&IW\Fix\Alias)|IW\Fix\Fourth', 'IW\Fix\Fourth');
+
+        $this->assertInstanceOf('IW\Fix\ClassWithDnfType', $container->make('IW\Fix\ClassWithDnfType'));
+    }
 }