I'm not an expert on this, but I've tried to read this article and this article from Nature. I've also seen this answer which claims that you can use quantum teleportation combined with a classical channel to send an EPR pair that can be used later to perform quantum teleportation again.
Can you create a setup a system in which a finite number of particles can be used for quantum teleportation both ways between two people? It was ambiguous to me whether a continuous classical connection was needed to support the quantum teleportation system or whether only an initial setup was needed.