A catheter for introduction and removal of fluids from a body and tunneling device therefor, the catheter has a body having a first conduit for removing fluid from the body and a second conduit for delivering fluid to the body wherein at least a part of each of the conduits is integrally formed within a first end of the body of the catheter and extends along side one another. The first conduit extends beyond the second conduit and forms a terminal point of the first end and defines a first opening thereat and the second conduit extends to a point short of the terminal point defining a second opening. A bumper portion is adjacent the second opening extending toward the terminal point. Another part of each the first and the second conduits are disjoined and form part of a second Y-shaped end. The tunneling device has a channel to removably receive the catheter.
