A method for establishing a traffic connection (5) and an associated monitoring connection (6) in a network (1) e.g. of MPLS type, comprises: sending a first connection establishment message from an ingress node (A) of the traffic connection along a path, wherein the connection establishment message comprises a monitoring connection request designating a first and a second node of the connection path, intercepting the first connection establishment message at the designated first node (B), sending a second connection establishment message from the designated first node for establishing the monitoring connection between the designated first and second nodes (B, D), resuming and completing the establishment of the traffic connection, wherein the traffic connection is encapsulated into the monitoring connection between the designated first and a second nodes of the connection path.