A machine designed to bond a number of layers of film made of different materials, using solventless adhesive, to obtain a single multi-ply film consisting of a series of layers having different characteristics, which comprises a drum (2) associated with a plurality of spreader/applicator units (3, 4, 5), each of which comprises a tank of adhesive and means for taking up said adhesive and transferring it in the form of a thin layer to an applicator roller which moves in contact with the drum. Each of the films to be bonded is fed to one of the zones formed between the drum (2) and said spreader/applicator units (3, 4, 5), where it receives a layer of adhesive and is then joined to the film fed to the next zone. The machine can be set up to produce a single film consisting of different layers, and also to make two films each consisting of two layers bonded to one another, or a three-ply film wherein the films can be made of different materials.