There is provided a highly conformable stent graft (120) with a portal (124) for a side branch device. Said stent graft comprises a graft being supported by a stent, wherein said stent comprises undulations each which comprise apices in opposing first and second directions and a tape member attached to said stent and to said graft such that the tape member edge is aligned to the edge of the apices in the first direction of the each of the undulations, thus confining the apices in the first direction of the undulations to the graft and wherein the apices in the second direction of the undulation are not confined relative to the graft; wherein said graft forms unidirectional pleats where longitudinally compressed and wherein said apices in the first direction of said undulation is positioned under an adjacent pleat when compressed. The invention also discloses methods of making and using said highly conformable stent graft and a method of making the optional portal.