An endoluminal prosthesis may be provided including an tubular graft having a proximal end, a distal end, and a main lumen disposed therein, the tubular graft comprising a first biocompatible material; a plurality of stents disposed about a surface of the tubular graft and arranged in longitudinally spaced rows; at least one aperture (42) disposed through a sidewall of the tubular graft, the at least one aperture (42) positioned between two longitudinally spaced rows of stents; a valve arrangement (44) associated with the at least one aperture, the valve arrangement (44) being secured to the graft about the at least one aperture; and, an outer liner (38) connected to the tubular graft between the proximal end and the distal end and surrounding the valve arrangement. In some embodiments, the valve arrangement comprises a third biocompatible material having four sides, wherein three of the four sides are secured to the graft.