A tubular element for securing to a tube end by friction-welding for the purpose of transporting a fluid, the element includes a body (1) having a housing (5) formed therein to receive the tube end, the housing having an inlet segment (6) for the tube end and a welding segment (9) with an inlet defined by a surface (13.2) for initiating welding. The housing further includes, between the inlet segment and the welding segment, at least one reception groove (8) for receiving a portion of the tube end that is pushed back during welding, the reception groove having a flank with at least a portion forming the weld-initiating surface and on its other side an abutment flank for the pushed-back portion. A method of friction welding is also disclosed.