The present invention relates to closing an opening within a subcutaneous bodily vessel by using a spiral closure device to engage tissue around the opening. The spiral closure device is adapted to be threaded into the vessel wall surrounding the opening in the bodily vessel. A deployment mechanism may be used to rotate the spiral closure device. As the deployment mechanism is rotated the spiral closure device is rotated such that a tip of the spiral closure device engages the vessel wall around the opening in the bodily vessel. Continued rotation of the spiral closure device threads the closure device through the tissue around the opening. The closure device may have a tapered configuration in which the distal end is larger than the proximal end. As the distal end is threaded through the vessel wall, the narrowing closure device pulls the vessel wall tissue together, thereby effectively closing the opening.