A stent-graft having a smaller compacted diameter suitable to allow the stent-graft to be transported through a body conduit to a desired site. The stent-graft is deployed at the desired site by self-expanding to a first larger diameter from the smaller compacted diameter. The stent-graft has at least one flared end when self-expanded to the first larger diameter. The stent graft is further diametrically expandable by the application of force such as the inflation of a catheter balloon within the stent-graft to a still larger, maximum second diameter that is equal to about the maximum diameter of the flared end.