Abstract: A coupling piece for an outer end of a multilayered conduit, includes a coupling pipe which is provided on the outer side with a radially upright wall, wherein the wall is widened in an axial direction at a radial distance from the outer side of the body. The outer side of the coupling pipe, the upright wall and the widened portion enclose an annular insertion space into which the outer end of the conduit can be directly inserted, wherein the inner wall of the coupling pipe is reinforced with an adjacent reinforcing layer which has a greater strength than the material of the coupling pipe. The reinforcing layer is provided with axial engaging elements, while the inner wall is provided with axial connecting elements which correspond with and connect to the engaging elements.