A device for fastening a fabric in a removable or detachable manner to a profile including an inner edge and an outer edge opposite the inner edge, such that once fastened, the fabric extends to the side of the inner edge, the device including: a first fastening part, for fastening the device to the profile, a part, called covering part, provided in order to be covered by the fabric; and the covering part extends beyond the fastening part to the outer edge, in the direction from the inner edge towards the outer edge.