A vascular device is provided that includes a tubular structure and an occluding structure. The tubular structure has inner and outer layers, with the occluding structure located between the inner and outer layers. Each of the inner and outer layers may define a different pick count, and the tubular structure may include a leading edge at a transition between the pick counts. The leading edge may be disposed at the distal end of the vascular device when the device is deployed from a delivery device. Furthermore, the occluding structure may have first and second layers formed by the inversion or eversion of the occluding structure and the subsequent coupling of its free ends to form a continuous structure. Thus, any loose ends may be sealed to minimize unraveling and/or shifting of the occluding structure within the tubular structure. A method of making the vascular device is also provided.