The invention relates to a wrapping device to wrap an object, such as a bale, in foil material, including at least one clamping and cutting device to clamp the foil material after wrapping of the object, and to cut the clamped foil material, wherein the clamping and cutting device includes a catch element having a curved guiding element which is guided in a bearing, wherein the catch element is translatable between a catch position to catch the foil material and a clamp position in which the foil material can be clamped in order to facilitate cutting of the foil material.
