In a device (1) by which strips decoiled from rolls are spliced together automatically, a leading end (15) of a new strip (7) decoiling from a first roll (5) is gathered at a take-up station (25) and directed along a movable feed table (34) toward a cutting and preparing station (40); once the step of preparing the leading end (15) of the new strip has been completed, the table (34) tilts on a relative axis of rotation (38) so as to direct the strip toward the entry end of a conveyor (50). The leading end (15) of the strip (7) passes along the conveyor (50) to a splicing station (41) where it is jointed with an end portion (42) of a depleting strip (8) decoiling from a second roll (6).