Replaceable decorative part made of plastic, to be fitted onto the case (2) or frame of an electric appliance, such as a hand-held telephone, which decorative part is a film-like additional covering (10) intended to be fitted onto the case (2) or frame and so designed that it covers substantially the entire case or frame and corresponds to its shape, said additional covering being provided with a desired patterning/colouring, and which additional covering (10) comprises a surface fastening, such as a close fit between its sides (13) and the corresponding parts (12) of the case (2) or frame and/or a glue or sticker surface in at least part of the lower surface of the additional covering, to allow the additional covering to be attached to the case (2) or frame without any holes or equivalent made for the attachment of the decorative part.