This disclosure relates to a winding machine which has a plurality of equi-rotating rolls, at least two guide elements arranged mirror-wise, between which the sheets to be rolled up pass, with arched distal portions arranged in a mirror-like manner, the two guide elements being connected to a support configured to position in a mutually exclusive manner only one guide element at a time in the rolling space defined between the winding rollers. Moreover, the winding machine is equipped with a motor unit controlled so as to rotate the winding rollers in a direction or in the opposite direction depending on which of the two guide elements has its respective distal portion facing the rolling space.