A composite prosthesis (19, 99, 199) and method are disclosed herein. This endoluminal prosthesis is constructed by separately deploying a first prosthesis (9, 201) and a second prosthesis (14, 208), wherein the first prosthesis is deployed and secured to the interior surface of a body lumen (260). In a subsequent step, the second prosthesis is deployed substantially within and secured to the first prosthesis. Although additional prostheses may be deployed within the second prosthesis, in a preferred configuration the first and second prostheses combine to provide all of the necessary attributes associated with a functioning endoluminal prosthesis. Thus, one of the first and second prostheses is permeable to blood and exerts sufficient radial force to cause the composite prosthesis to securely engage an interior surface of the body lumen at one or both of the composite prosthesis's proximal and distal ends, while the other of the first and second prostheses is impermeable to blood flow.