The invention relates to a wrapping device (3) to wrap an object in foil material (105), comprising at least one clamping and cutting device (100) to clamp the foil material (105) after wrapping of an object (50), and to cut the clamped foil material, wherein the clamping and cutting device (100) comprises a catch element (102) having a curved guiding element which is guided in a bearing (103), wherein the catch element (102) is translatable between a catch position to catch the foil material (105) and a clamp position in which the foil material (105) can be clamped in order to facilitate cutting of the foil material (105).
