Using Web Forms CompositeControl in ASP MVC

We are currently migrating an application from Web Forms to ASP MVC. Due to the size of it it's difficult doing it all in one go, so we are going to try to have an hybrid for a bit.

We are trying to reuse some of our user controls (.ascx files) from Web Forms and we have had no problems when they are inheriting from System.Web.UI.UserControl because System.Web.Mvc.ViewUserControl inherits from it.

However, the problem seems to occur when they inherit from System.Web.UI.WebControls.CompositeControl. Is there an equivalent of this class in MVC like Page -> ViewPage and UserControl -> ViewUserControl that can be used to solve the problem?