A compound profile (43) consists of a fastening section (33) of a thermoplastic plastics material as well as profile sections (30, 31) of elastomeric material, namely a profile section (30) of expanded rubber and a profile section (31) of soft rubber. All sections (30, 31, 33) are fixed to one another by co-extrusion and co-vulcanization. The plastics material fastening section (33) assumes the function of the conventional metallic reinforcement of the compound profile (43). The compound profile (43) can be three-dimensionally shaped in that it is heated up to the plasticization temperature of the fastening section (33), then is brought to the desired shape in a shaping tool, and in that shape is cooled until the fastening section (33) has again returned to its non-plastic state. One thus creates a profile part which is stable in shape.