A method for mounting an endpiece for securing a tubular pipe and apparatus for implementing same. The method includes the steps of: a) providing an endpiece and a ring (36) having an outer rotationally symmetrical cylindrical surface (40), and a sheath having a sheath end (32) and an outer circular edge (46); b) inserting the ring (36) into the sheath end (32); c) leveling off the outer circular edge (46); and d) covering the leveled edge with the endpiece. In step b) the ring (36, 36, 36) is inserted leaving one of the ends (44) thereof extending out of the sheath end (32), and in step c) the outer circular edge (46) is leveled off, by engaging the one of the two ring ends (44).

A tool system for mounting an elastic sleeve includes a holdout tube supporting the elastic sleeve prior to and during mounting, the holdout tube having a longitudinal axis, an interface element movable along the longitudinal axis and transferring pressure onto the elastic sleeve to push the elastic sleeve off the holdout tube during mounting, and an actuation lever engaging the holdout tube at a fulcrum region of the actuation lever. The actuation lever has a pair of load arms partly encompassing the holdout tube. A load region is arranged at a peripheral end of each of the load arms. The actuation lever actuates the interface element by pressing the load regions of the actuation lever against the interface element.