A method of making an endoluminal stent-graft, comprises the steps of:placing a first covering member composed of a boicompatible polymer on a surfaceplacing a radially expandable stent over said first covering memberlaying down a layer of an activatable adhesive material over the first covering member and the stentplacing a second covering member composed of a biocompatible polymer over the stent andinscribing a pattern of electromagnetic energy on the stent-graft to activate the adhesive forming a pattern of bonds between the covering members which bonds corresponds to the pattern of electromagnetic energy and which bonds allow portions of the stent to move freely when the stent expands.