A drum for looping annular anchoring structures in a process for building tyres for vehicle wheels, comprising a radially expandable/contractible intermediate annular portion and, in a position axially adjacent to opposite axial ends of said intermediate annular portion, a pair of radially expandable/contractible lateral annular portions, the intermediate annular portion and the lateral annular portions being configured to support a loop, wherein each lateral annular portion of said pair of lateral annular portions comprises a plurality of circumferentially adjacent first angular sectors, wherein each of the circumferentially adjacent first angular sectors is capable of a synchronous radial movement and a synchronous axial displacement to cause a thrusting stress imparted by the respective lateral annular portion to turn up an end edge of the loop on an annular anchoring structure arranged at the intermediate annular portion;
- wherein the drum is configured so that during the turning up, the annular anchoring structure is not rotated.