An intraluminal device intended to be introduced into a passage within the body, includes a tube (10) having one end (12) intended to be introduced into the bodily passage, a second end (14) connected to a receiving member (16) and a part for introduction into the bodily passage, and a wrapper (20) formed of two sheets of plastic which is intended to form an opening for the passage of the first end (12) of the tube and has two parts for preferential parting (22, 24) for forming an opening, the superposed sheets of the wrapper (20) forming three parts for grasping (26, 28, 30) positioned on each side of the parts for preferential parting (22, 24).
