This invention is an endoluminal device including a stent a tubular graft supported by the stent, wherein the graft comprises a proximal opening and a distal opening and a variable diameter ring adjacent one of said openings, wherein the variable diameter ring comprises a coiled length of wire having two ends and forming at least one winding around the tubular graft. This invention also relates to the methods of treating an aneurysm and making the endoluminal device.