An embolic protection device including a porous deflector screen including a filter, arranged to expand and to conform to a wall of the aortic arch covering entrances to arteries branching from an aorta, an emboli collector including a cylinder arranged to expand and to lie along walls of a descending aorta, pushing against walls of the descending aorta and anchoring the porous deflector screen, and a connecting portion for connecting the porous deflector screen and the emboli collector, arranged to push the porous deflector screen against a wall of the aortic arch while anchoring against the emboli collector. Related apparatus and methods are also described.