Rewinding machine

A rewinding machine comprising:

• a drive unit for supplying a paper veil;
• a winding unit for winding the paper veil supplied by the drive unit into a coil around a winding core, the winding unit comprising a primary roller, a secondary roller rotating in contact with the winding core, and a pressure unit comprising a pressure roller rotating on to the coil being formed;
• a core exchange unit for ejecting a formed coil from the rewinding machine at an end of a winding cycle and inserting a new core to be wound;
• a separation means for interrupting a continuity of the paper veil at the end of winding cycle;
• a means for winding a drawing flap of the veil on the new core at a start of a new winding cycle, the pressure unit comprising at least two motorized pressure rollers arranged to alternate in position with respect to the coil and rotate simultaneously while being in contact with the coil being formed, at least during part of the winding phase, each of the at least two motorized pressure rollers having a peripheral speed that is substantially equal to a winding speed of the veil, wherein the pressure unit comprises another pressure roller to provide three pressure rollers, each of the three pressure rollers comprising a respective rotation axis integral with a common rotation axis.