Direct url actions from one container to a browser in another container

I am looking into a desktop architecture where each application runs its own container. One of the things I’d want to achieve is redirecting url interaction, web browser firing requests from one container to another container which hosts an installed browser. My host and containers are Ubuntu based and GUI running containers are provided access to the Display of the host. To explain the use case better, imagine that user clicks a link in a container which doesn’t have a browser installed and this operation is redirected to another container which has got a browser installed on. Ideally, I would avoid specifying the browser name in the triggering client either.

Thanks in advance.