Disclosed is a multilayer film comprising a first surface layer comprising a cross-linked, partially neutralized copolymer of ethylene and one or more α,β-unsaturated C3 to C8 carboxylic acid, and a second surface layer comprising a polyamide; a use of such multilayer film for, for example, decorating a substrate such as for example a ski, snowboard or skate board; as well as a ski comprising such coextruded multilayer film. Also disclosed is a process for decorating a substrate comprising coextruding a multilayer film comprising the first surface layer and the second surface layer comprising a polyamide; irradiating the coextruded multilayer film to cross-link the film; printing a decorative element on the second surface layer comprising a polyamide; cutting the multilayer film; contacting the second surface layer of the multilayer film with a surface to be decorated on a substrate; laminating, e.g., by heat, the multilayer film to the surface to be decorated.