The present invention relates to implantable endoluminal prostheses and methods of using such devices in preventing clots migration to avoid ischemic strokes. The implantable endoluminal prosthesis is suitable for deployment from the aortic annulus to the aorta and comprises a self-expandable braided framework able to expand from a radially compressed state in a delivery configuration to a radially expanded state, and a radially collapsible valve body comprising an impermeable material. The self-expandable braided framework is formed of braided wires having a given diameter, and has a proximal end configured to extend toward the heart and a distal end configured to extent toward away from the heart and extending along an axis. The braided framework comprises a main tubular body at the distal end of the self-expandable braided framework, a neck at the proximal end of the self-expandable braided framework, a transition portion extending between the proximal end of the main tubular body and the distal end of the neck. The main tubular body 3 and the neck comprise a lumen in a cylindrical form with a circular cross-section and a constant diameter respectively, and the diameter of the main tubular body is larger than the one of the neck. The main tubular body, the neck and the transition portion consist of an integrated structure comprising plurality of layers of made of biocompatible material, being devoid of any impermeable cover layer, and forming a wall having a thickness. The valve body is placed within the lumen of the neck.