This document provides vascular filtering devices and methods for their use. In some embodiments, the vascular filtering devices include an elongate member having a wall with one or more apertures and a lumen. The vascular filtering devices can also include a porous membrane bag portion with multiple elongate extensions that extend through the apertures of the elongate member and through the lumen of the elongate member, exiting the lumen at the proximal region of the elongate member.
