There is described a labelling group (4, 5) for applying at least one label (10) onto a respective article (11, 11a, 11b) at an application station (B), comprising: a transfer element (13), which is adapted to transfer said label (10) along a trajectory (Q) which comprises a transfer station (H), and can be arranged in an operative position, in which said transfer station (H) coincides, in use, with said application station (B); and a diverting device (20), which can be selectively arranged in: a first configuration, in which it allows said transfer element (13) to convey said label (10) along at least part of said trajectory (Q) and to release said label (10) at said transfer station (H); or in a second configuration, in which it prevents said transfer element (13) either from receiving said label (10) or from releasing said label (10) to said transfer station (H); transfer element (13) is movable in at least one rest position, in which trajectory (Q) is spaced from said application station (B).