An occlusion apparatus comprises inner and outer sheaths and an expandable flexible tubular sleeve. The occlusion apparatus is advanced to a target site in the blood vessel. A dilator having a soft, compressible tip may be advanced through a lumen of the inner sheath to facilitate the advancement of the occlusion apparatus. The sheaths are translated relative to one another to expand the flexible tubular sleeve to a funnel shape with a distal flush portion contacting the blood vessel inner wall and a proximal tapered portion. The proximal portion is fluid permeable so that blood can pass through to apply pressure on the vessel wall through the distal portion. A capture or traction device can be advanced out of the inner sheath lumen and retracted back therein to capture thrombus. The distal portion of the device may comprise an expandable mesh braid with a memory characteristic to limit expansion.
