An intraluminal endoprosthesis having a conically shaped first end and a tubular shaped balloon-expandable stent for a main body is disclosed. The conically shaped first end may form a flare to the main body and is particularly well suited for in ostium use. The first end is preferably self-expanding and the main body is preferably balloon-expandable. Also disclosed is a delivery device for delivering intraluminal ostial endoprosthetic devices, especially those disclosed herein, to a site for deployment. The delivery device may comprise an over-the-wire system or may comprise a rapid-exchange shuttle system. The self-expanding portion of the endoprosthesis is encapsulated in a sheath or other restraining apparatus on the delivery device. The balloon-expandable stent portion of the endoprosthesis is crimped onto a balloon delivery device. The delivery system and endoprosthesis of the present invention allow the endoprosthesis to be partially expanded and relocated if it is determined that it is not located in the proper location. To aid in positioning, the delivery device may comprise marker bands.
