The unwinder device includes an unwinding station (7), with unwinding members for unwinding reels and a splicing device (151) for splicing together web-like materials (N1 and N2) coming from a first reel (B1) and from a second reel (B2). At least two supports (49, 51) are arranged in the unwinding station for the respective reels of web-like material, associated with respective unwinding members (83, 99). The supports are constructed and arranged to simultaneously support two reels being unwound, during at least a phase of the unwinding, and each of said supports is able and constructed to load a new reel in an engagement position, support it during the unwinding and unload it in a release position.