Abstract: The invention relates to a device forming an endoluminal endoprosthesis. The device comprises at least a first segment, and upstream from said segment, at a predetermined distance therefrom, it comprises a "fixing" upstream segment made of a biocompatible material so as to be deployable from a closed or non-deployed position for insertion purposes to a deployed working position, the deployed working position being designed to be located in a healthy zone of blood vessel and being separated from the first segment by a predetermined distance defined by links of predetermined length. The invention makes it easy to recatheterize a blood vessel such as the abdominal aorta suffering from an aneurysm.