The invention relates to a bundle (16) of stacked products (18) consisting of absorbent paper, of the type which comprises a sheet of flexible material, such as a plastic wrapping sheet (20), and of the type which comprises opening means making it possible to release a zone (86) for gripping at least one paper product (18) in order to extract it individually from the wrapping (20), and of the type of which the opening means comprise a flap (36) which is movable between an opening position and a closing position, covering the gripping zone (86), and which is a part of the wrapping sheet (20) delimited by a precut (72) or a cut of the wrapping sheet (20), characterized in that the precut (72) or cut is arranged in a corner (74) of the bundle (16) and comprises at least two portions which are connected to one another and which each extend over a separate face (22, 28) of the bundle (16).