An apparatus includes a heating station, a laminating and transfer-printing station, and a molding station in succession, and a transport arrangement that transports the material being processed among the stations. In the heating station, a substrate is pre-heated and consolidated. In the laminating and transfer-printing station, a decorative cover layer is laminated onto the substrate and simultaneously a surface decoration (design, pattern, image, colors, text, etc.) is transfer-printed by sublimation of inks or dyes from a transfer paper onto an outer surface of the decorative cover layer. The resulting laminated body with a transfer-printed surface decoration is then three-dimensionally deformed and molded to form a three-dimensionally contoured, molded, laminated article with the transfer-printed surface decoration. The article may be a motor vehicle interior trim component.