An endovascular graft which is configured to conform to the morphology of the vessel to be treated and which is made from an inflatable structure having a proximal end with a proximal inflatable cuff and a distal end with a distal inflatable cuff. At least one elongated inflatable channel is disposed between and in fluid communication with fluid tight chambers of the inflatable cuffs which may contain rupture discs therebetween which can be configured to rupture at different pressures. A thin flexible barrier disposed between the inflatable cuffs and the elongated inflatable channel of the frame so as to form a tubular structure defining a longitudinal channel to confine a flow of blood or other fluid therethrough. The graft may also have an expansion member attached to the proximal end of the graft which is preferably made of linked expandable rings of pseudoelastic shape memory alloy which is self expanding and prevents axial displacement of the graft once it is deployed.