The invention features an intra-vascular device (10) which may include a filter (30), a filter insert (36), and a supporting structure (40) to hold a filtering element and may serve to filter or deflect emboli or other large objects from entering protected secondary vessels. The device may be capable of collapse along its longitudinal axis (80) for ease of delivery to the treatment site. The device may further be compatible with common delivery methods (e.g., TAVI procedures). Upon deployment, the device may be positioned in a middle area of a blood vessel (e.g., an aortic arch) near but not in contact with one or more second blood vessels (e.g., the branch arteries of the aorta). The supporting structure may be capable of pressing against the medial wall of a blood vessel (e.g., the aorta) and provide lift to the device so that a middle portion of the device is above a lateral plane of the device.