Embodiments of the present invention provide devices and methods for treating various target sites, such as vascular abnormalities. For example, a medical device according to one embodiment includes at least one layer of a fabric of braided strands having proximal and distal ends and a central axis extending therebetween. The medical device has an expanded configuration a generally frustroconical shaped portion at each end. The medical device is configured to be constrained to a reduced configuration for delivery through a diagnostic catheter and to at least partially return, when unconstrained, towards the expanded configuration.
