Abstract: In a method for applying a layer containing at least polymer material to a substrate, there is applied to the substrate a film of polymer particles dispersed in a non-reactive liquid. By subjecting these at least polymer material-containing particles to an energy flow, which is locally at least substantially converted into heat, the particles will fuse with each other as a result of such a heat treatment. In particular, the heat treatment is done with the aid of a laser device operative in the UV region, or a laser device operative outside this region, though then in combination with a heat transferring agent in the film.