A method for winding a plurality of longitudinal strips on spools being formed in a plurality of winding stations, each spool rotating around a respective rotation axis and reciprocatingly translating parallel to said rotation axis, the method comprising the steps of:
- winding a length of the longitudinal strip on first spools being formed in the winding stations;
- severing the longitudinal strips by means of the cutting devices, forming trailing edges of the first spools and leading edges of second spools, the leading edges being held by means of respective holding devices;
- removing the first spools from the winding stations;
- inserting new tubular winding cores into the winding stations;
- by means of the holding devices, moving each one of said leading edges towards the respective new tubular winding cores;
- making the leading edges adhere to the new cores;
- starting winding new spools around the new tubular winding cores.