Particular embodiments may enable setup and signaling of co-routed and non co-routed label switched paths (LSPs) of a bidirectional packet traffic engineering (TE) tunnel in an unambiguous manner with respect to provisioning of the LSPs/tunnel. A head-end node may set up the bidirectional packet TE tunnel by computing a forward (and possibly a reverse) direction LSP, and then signal the bidirectional TE tunnel utilizing, e.g., extensions to an associated Resource Reservation Protocol (RSVP) signaling method. The extensions to the associated RSVP signaling method include a plurality of additional Association Types of an Extended Association object carried in a RSVP Path message transmitted by the head-end node to the tail-end node over the forward direction LSP, wherein the additional Association Types explicitly identify the provisioning of the forward and reverse direction LSPs as co-routed or non co-routed.