Apparatus for approximating and closing the walls of a hole or puncture in a physiological shell structure which, in one preferred form, comprises a pair of components that manipulate wire suture. The first component, sometimes referred to herein as a suture introducer, locates the edges of the hole and passes wire suture through them. The second component, sometimes referred to herein as a suture tensioner, gathers the free ends of the wire suture and twists them together, which in turn closes the hole. After the wire suture has been twisted sufficiently to effect closure, the excess wire is trimmed away. The apparatus can deploy more than one wire suture at a time if desired. Using self-locating features and tactile feedback, the apparatus is particularly well adapted to access remote surgical sites.