An apparatus, and an associated method, for directing communications of a communication session to a selected communication device, or devices, of a group of commonly-registered devices. A device-direction policy is created and stored at a network entity. The policy identifies preferred devices to which communications of a communication session are to be provided. A SIP Invite, or other communication-session initiation message, is provided to the network entity. The network entity detects the message, accesses the policy, and forwards on the message in accordance with the policy.