An embolic protection device, kit, and medical procedure prevent embolic material from entering into side branch vessels of the aortic arch. The device is a collapsible embolic protection device devised for temporary transvascular delivery to an aortic arch of a patient and has a protection unit that comprises a selectively permeable unit adapted to prevent embolic material from passage with a blood flow into a plurality of aortic side branch vessels at the aortic arch. The protection unit is permanently attached to a transvascular delivery unit and a first support member that is at least partly arranged at a periphery of the selectively permeable unit. In an expanded state of the device, the connection point is enclosed by the first support member or arranged at said support member.