Disclosed herein are systems and methods for protecting a subject from embolisms during TAVI percutaneous valve procedures, coronary bypass surgery and heart valve surgery. Various embodiments include an intravascular embolism protection device that includes an elongated, compliant frame made from a material having a shape-memory function, and a mesh material coupled to the elongated, compliant frame, the mesh material having a pore size selected to allow blood to pass therethrough while retaining potential emboli. In some embodiments, the embolism protection device has a collapsed state wherein device is configured to fit within the lumen of a support catheter and an expanded state wherein the embolism protection device is configured to cover a plurality of arterial branch ostias.