A system comprising a closure device for closing a hole in a wall of a cardiovascular structure, comprising: an endo-cameral occlusion member configured to seal against an inner surface of a wall of a cardiovascular structure around a hole in the wall, the occlusion member comprising a resiliently deformable material and configured to be radially compressed to a delivery configuration for transcatheter delivery to within the cardiovascular structure adjacent the hole and configured to radially self-expand to a deployment configuration when released from within a delivery sheath; and first and second extra-cameral arms (24,26) coupled to the occlusion member and configured to engage an outer surface of the wall in a deployed configuration to secure the device to the wall, the arms each comprising a base end portion coupled to the occlusion member, an engagement end portion configured to contact the outer surface of the wall when deployed, and an opening that receives a retaining element that retains the arms in a radially compressed delivery configuration, wherein the arms comprise a resiliently deformable material and are configured to be held in the radially compressed delivery configuration during transcatheter delivery and during deployment of the occlusion member, and wherein the arms are configured to resiliently self-expand to a deployment configuration after the occlusion member has self-expanded to its deployment configuration when the retaining element is removed from within the openings in the arms; the system further comprising a delivery device, comprising the retaining element, wherein the closure device is in combination with the delivery device configured to deliver the closure device in a radially compressed state to a hole in a wall of the a cardiovascular structure and configured to deploy the closure device to close the hole. an endo-cameral occlusion member configured to seal against an inner surface of a wall of a cardiovascular structure around a hole in the wall, the occlusion member comprising a resiliently deformable material and configured to be radially compressed to a delivery configuration for transcatheter delivery to within the cardiovascular structure adjacent the hole and configured to radially self-expand to a deployment configuration when released from within a delivery sheath; and first and second extra-cameral arms (24,26) coupled to the occlusion member and configured to engage an outer surface of the wall in a deployed configuration to secure the device to the wall, the arms each comprising a base end portion coupled to the occlusion member, an engagement end portion configured to contact the outer surface of the wall when deployed, and an opening that receives a retaining element that retains the arms in a radially compressed delivery configuration, wherein the arms comprise a resiliently deformable material and are configured to be held in the radially compressed delivery configuration during transcatheter delivery and during deployment of the occlusion member, and wherein the arms are configured to resiliently self-expand to a deployment configuration after the occlusion member has self-expanded to its deployment configuration when the retaining element is removed from within the openings in the arms; the system further comprising a delivery device, comprising the retaining element, wherein the closure device is in combination with the delivery device configured to deliver the closure device in a radially compressed state to a hole in a wall of the a cardiovascular structure and configured to deploy the closure device to close the hole.