Apparatus for handling an incoming telephone call including a call processor coupled to a wired or wireless telephone network for receiving an incoming telephone call directed to a called person, a conversation detector for determining whether a conversation is currently taking place between said called person and one or more other persons who are near to said called person, and a call inhibitor for inhibiting the delivery of, delaying or rerouting said incoming call if said conversation detector determines that a conversation is taking place. Each participant in the conversation is provided with a speech detector, and vibrator for producing a tactile alert when incoming calls directed to a participant arrive, and a manually operated control for issuing a veto command that inhibits the delivery of, delays, or reroutes the incoming call so that the conversation is not interrupted.