The invention relates to a process for the production of a composite part with a multi-part outer layer and with a foam layer bonded on the reverse side to the outer layer, in particular internal cladding of a vehicle, and also to a composite part. The inventive process comprises the following steps: a) arrangement of a first skin and of a second skin with angled-off end regions on the surface of a mold in such a way that the angled-off end regions of the first and second skin have firstly been oriented away from the surface of the mold and secondly are adjacent to one another; b) application of a reduced pressure in the region of the position of the angled-off end regions, in such a way that the angled-off end regions are pressed two-dimensionally against one another; c) reverse-side foaming of the first and second skin with a foam composition. The inventive process permits the simple production of visually attractive composite parts with multi-part outer layer.