the object of the invention is an apparatus for the preliminary or final assembly of sheets of glass and / or plastic material for forming laminated glazings . the apparatus according to the invention comprises a lower pinching means following a curvature transversal to the bottom side of the rigid support of the glazing , a flexible , cylindrical pressure roller placed above the lower pinching means , means bearing on the pressure roller to give it the desired curvature , and means providing a rotational drive of the pressure roller and / or the lower pinching means . the invention is applicable to the manufacture of laminated glazings , particularly for automobile glazings or flat glass used in construction .