Abstract: The invention relates to an apparatus for the assembly or permanent adhesion of sheets of glass with sheets of plastic material, comprising a pair of pressure rollers between which one passes the layers superimposed for assembly, which rollers being provided with, on a length corresponding at least with the size of the layers to be assembled, a hollow elastic covering which is filled with a fluid under pressure. In each roller the elastic covering is mounted to the roller (in a manner similar to a vehicle tire) by means of two rim-like elements, one of which is movable axially of the roller toward and from the other such rim. The elastic covering is like a tire but oversize in the axial direction. By adjusting one of the rims relative to the other, or the fluid pressure or both, the shape of the elastic tire-like member may be modified within wide limits to accommodate sheets of glass having complex, compound curves.