Rewinding machine and method of producing logs of web material

A method for winding a web material and sequentially forming logs of said web material wound around winding cores, comprising steps of:

• feeding a web material around a first winding roller of a first winding cradle formed by the first winding roller, a second winding roller and a third winding roller, the first winding roller and the second winding roller defining, with a fourth winding roller, a second winding cradle;
• inserting a first winding core into a feed channel formed between the first winding roller and a rolling surface extending around the first winding roller, and feeding the winding core by rolling in contact with the rolling surface and with the web material entrained around the first winding roller and feeding the first winding core along an insertion path between the first winding roller and the third winding roller and inserting the first winding core into the first winding cradle;
• carrying out a first part of a winding cycle of a first log around the first winding core in the first winding cradle,
• transferring the first log being formed from the first winding cradle into the second winding cradle through a nip defined between the first winding roller and the second winding roller;
• carrying out a second part of a winding cycle of the first log in the second winding cradle;
• at the end of winding of the first log in the second winding cradle, inserting a second winding core into the feed channel and along the insertion path between the first winding roller and the third winding roller and inserting the second winding core into the first winding cradle.