I'm pretty sure that trying to do this would always be conceptually wrong. You are trying to carry state forward from one conversation to the next, so by definition, it is not a new conversation. More likely,
(a) It is really the same conversation or
(b) You want a nested conversation or
(c) The state from the first conversation really belongs in the PAGE or SESSION scope, or perhaps in the EVENT scope with the selection being carried forward as a request parameter
I'm inclined toward "it is a nested conversation"...