Embodiments of the present invention provide medical devices and methods for treating a target site within the body, such as for treating vascular abnormalities. For example, one embodiment provides medical device including a first tubular member that includes a first portion, a second portion, and a central portion disposed between the first portion and the second portion. Each of the first and second portions has a radius that is larger than that of the central portion, and the second portion has a preset, relaxed configuration in which a portion of the second portion has a partial discoid shape defined by an inversion of a portion of a discoid into itself.
