A method is provided in one example embodiment and includes configuring a local network element as an autonomic registrar for a designated network domain; establishing an autonomic control plane (“ACP”) between the local network element and one or more remote network elements identified by local network element as a remote neighbor; designating a locally-defined subnet at the local network element to be extended to each of the one or more remote network elements; and executing an ACP command at the local network element, wherein the executing triggers a message to each of the one or more remote network elements, the message including information regarding the designated local subnet. The information included in the message is used by each of the remote network elements to auto-resolve its Locator/Identifier Separation Protocol (“LISP”) configuration, enabling the designated local subnet to be extended to each of the one or more remote network elements.