A medical graft connector for connecting an end of a tubular graft conduit to a side wall of a patient's existing tubular body conduit via an aperture in the side wall thereof has a first plurality of fingers configured to engage an interior surface of the side wall of the existing conduit. A second plurality of fingers is configured to engage an exterior surface of the side wall of the existing conduit. A third plurality of fingers is received in an interior lumen of the graft conduit, and a fourth plurality of fingers is configured to pierce the graft conduit. The connector is radially deformable between a first size and a second size.