An apparatus is disclosed for attaching a counter pulsation device (CPD) to a blood vessel in a human or animal subject, the apparatus including: an interposition graft having a first end configured to be attached to the blood vessel, a second end, and an interior passage providing fluid connection between the first end and the second end; and a pump graft having first end attached to the second end of the interposition graft, a second end configured to be attached to the CPD, and an interior passage providing fluid connection between the first end and the second end In some embodiments, the interior passage of the interposition graft includes a rough surface configured to promote biological growth on the surface, and the interior passage of the pump graft includes a smooth surface configured to inhibit biological growth on the surface.