The present invention provides methods and apparatus for the endoluminal positioning of an intraluminal prosthesis at a target location within a body lumen. The device may comprise a porous, multi-layer prosthesis that can include several different tubular mesh components such as an everted tubular component, an tubular component that expands to various different sizes, a bifurcated tubular component, and a tubular component with an undulating expanded shape, among others. Various components can have different densities or pore sizes and can be overlaid on each other to selectively block different regions of a vessel.