Those of Mortal Descent in the Undying Lands

[Fordim Hedgethistle]

It would seem to me a rather cruel fate to leave Frodo, Sam and Bilbo alive forever in Valinor since that would deny them their final reward of dying and passing on to the next stage of existence. Continued life, unending existence, is a curse: the Nazgul being the best example of this, and to a lesser extent Gollum. But even the Elves bear this out -- it's their 'immortal' tie to the physical world that dooms them to things like Feanor's oath and the 'long defeat'. Beings who have life eternal (in this world) are doomed to share this world's fate.

I would hope for much more than that as a final reward for the Ring-bearers!

(I am, however, convinced that Frodo was still alive when Sam arrived in the West, and they were reunited once more in this life, for a time.)