Abstract: There is described herein a wrapping machine for wrapping a web of at least two stretchable films around a product. The wrapping machine comprises a dispenser for dispensing the at least two stretchable films with a longitudinal overlap. Each of the at least two stretchable films has a film edge in a longitudinal direction. The wrapping machine further comprises a roper for roping the film edges of the at least two stretchable films; a stretching device for stretching, after the roping, the at least two stretchable films; and a frame structure on which is disposed the dispenser, the roper and the stretching device for delivering the web for wrapping around the product.