An apparatus for attaching edging to a sheet has two stationary guides at each end, an upper hollow guide (8), a pair of lower guides (5), with a fixed base (4) between the lower guides. A hollow profile (1) is vertically movable, having a binding rail (2) on the underside thereof. The upper guide (8) is placed inside the profile, forming upper and lower spaces (7, 9) between the profile and the upper guide. Upper and lower flexible elements (10, 11) are provided in each space. In use, one element is filled while the other element is emptied, such that when an edging and a sheet is placed between the fixed base (4) and the binding rail, the lower element is filled to force the profile and thus the binding rail down to attach the edging. Then the upper element is filled to release the sheet with the attached edging.