The present paper addresses the efficient management of avatar states in P2P virtual environments (VEs) by building on our previously proposed Relaxed Triangulation (RT) overlay, designed to accommodate the dynamic nature of VEs by drastically reducing the maintenance cost inherent to the well-known Delaunay construct. Given that our RT overlay no longer supports greedy routing, we propose in this paper to complement our RT overlay with a message routing algorithm that guarantees message delivery on top of RT.