A node, in a first network, includes circuitry configured to add a label stack to a packet associated with one of a Layer 2 Virtual Private Network (L2VPN) and a Layer 3 Virtual Private Network (L3VPN), wherein the packet is destined for a second network having at least a pair of Border Gateway Protocol-Label Unicast (BGP-LU) Route Reflector (RR) nodes interconnecting the first network, and wherein the label stack includes an anycast Segment Identifier (SID) for the RR nodes, in Segment Routing, and transmit the packet to the second network. The label stack also includes a BGP-LU label for a destination in the second network. Responsive to isolation of one of the RR nodes, a Point of Local Repair (PLR) node in the first network is configured to implement Topology-Independent Loop-Free Alternate (TI-LFA) for the anycast SID.