Abstract: Shaped and self-supporting stratiform laminates, such as inner door panels for automobiles, are produced from a thermoplastic substrate and a flexible sheet material in a one-stroke molding, laminating, and cutting operation; laminated products obtained have protruding free edge portions of the flexible coating sheet so that cut edge portions of substrate can be covered subsequently with the protruding free portions.Apparatus for producing such laminates is a molding press having two molding plates, each of which includes one component of a pair of cutting means; the other two components of the pair of cutting means are provided by a generally annular element that is movable relative to the molding plates; the annular element includes a surface for cooperation with a peripheral knife around the surface of the upper molding plate to form one cutting means, and a cutting edge for cooperation with a shearing edge of the lower molding plate to form the second cutting means.