Methods and apparatus for supporting peer to peer and infrastructure, e.g., cellular, communication in a multimode device which can operate in a cellular system are described. Methods and apparatus for supporting peer to peer devices are also described. Peer to peer communication occurs within a switching time period during which infrastructure signaling does not occur and devices switch between an uplink and a downlink mode of infrastructure operation. The time period set for the switching time period is intentionally set larger, e.g., 10, 50, 100 or even more times larger than that required based on maximum cell size. Thus, a peer to peer communications period can be introduced into a TDD system and use the same frequency band as the TDD system in a manner that can remain compliant with a cellular communications protocol which allows for a switching time period, e.g., set in the system by a parameter.