A tissue engaging device and a corresponding deployment apparatus. The tissue engaging device has a generally annular-shaped body disposed about a central axis. The body has a plurality of inwardly protruding members separated by corresponding intermember spaces. The body is movable between a first position where the body is substantially convex before engagement with the tissue and a second position where the body is substantially concave when the body is engaged with the tissue. The tissue engaging device may be bioabsorbable. The deployment apparatus has a sheath and a tissue eversion apparatus for everting the tissue and positioning the everted tissue within the tissue engaging device.