I am looking to do something like this: (Free handed)

 container.RegisterType<MyParam>().InstancePerDependency();
 container.RegisterType<MyType>().WithParameter<MyParam>((ctx, myParam, newInstance) => { 
     ctx.Resolve<SomeOtherType>().Bind(myParam, newInstance);
 });

Is it possible to do with Autofac?