A collapsible, transluminally deliverable embolic protection device (200) for temporarily positioning in the aortic arch is disclosed. The device is connectable to a transluminal delivery unit (130) extending proximally from a connection point (131). The device has a frame with a periphery, and a blood permeable unit within said periphery for preventing embolic particles from passing therethrough into side vessels of said aortic arch to the brain of a patient. Further, the device has at least one tissue apposition sustaining unit, not being a delivery shaft of said device, for application of a force offset to said connection point at said device, such as at said periphery, towards an inner wall of said aortic arch when said device is positioned in said aortic arch, such that tissue apposition of said periphery to an inner wall of said aortic arch is supported by said force. In addition related methods are disclosed.