The invention relates to a process and a device for forming a planiform piece intended, in particular, for the interior fittings of motor vehicles, in which a layer of support material (1) is covered, at least on one of its faces (2) and in the area of a portion (3), at least, of its contour, or so-called portion to be bordered, with a cladding sheet (4) and said support (1) is cut along said portion to be bordered (3) in such a way that said cladding (4) projects from said support (1) in the area of said portion. According to the invention, a cutting tool (5) is pre-positioned between said cladding (4) and said support (1) along said portion to bordered (3) said cutting is effected with said cutting tool (5), when the support (1) is covered by the cladding (4).