The present invention provides methods and devices for closing two overlapping layers of tissue in a mammalian heart, for example a patent foramen ovale (PFO). The closure devices may take a number of different forms and may be retrievable. In some embodiments, a device is sized and shaped to extend from septum secundum, into the left atrium, through septum primum, and into the right atrium, such that the first and second ends cooperate to provide a compressive force to the overlapping layers of tissue. In some embodiments, the closure devices may be delivered with a catheter capable of puncturing mammalian tissue.