The invention relates to a wrapping device to wrap an object in foil material including a frame, a wrapping table mounted on the frame and configured to support the object during wrapping, one or more roll support devices to support one or more rolls of foil material to be rotated about the object during wrapping, a carrying structure mounted on the frame and configured to carry the one or more roll support devices, and a clamping and cutting device to clamp the foil material after wrapping of an object, and to cut the clamped foil material, wherein the clamping and cutting device is mounted on the carrying structure, and wherein the carrying structure is pivotable about a substantially horizontal pivot axis with respect to the frame.