Rewinding machine and method for producing rolls of web material

A method for winding a web material and forming in sequence rolls of said web material wound around winding cores, comprising arranging four winding rollers to define a first winding cradle between a first winding roller, a second winding roller and a third winding roller, and to define a second winding cradle between said first winding roller, said second winding roller and a fourth winding roller;

• performing a first part of a winding cycle of each roll in the first winding cradle, and a subsequent part of the winding cycle of each roll in the second winding cradle, the roll being wound passing from the first winding cradle to the second winding cradle through a nip defined between the first winding cradle and the second winding cradle;
• wherein once a roll has been completely wound, severing the web material by a movable severing member acting between the third winding roller and the roll being formed in the second winding cradle, wherein the severing member acts against the surface of the third winding roller.