A peritoneal dialysis catheter having an inflow conduit and an outflow conduit. Each conduits are linearly mated and contoured to cooperatively define a substantially circular cross sectional profile along a medial, trans-abdominal segment, but separating perhaps in radial fashion on either end of the medial, trans-abdominal segment, on a distal end to join fluted fluid transport branches and on proximal ends to join fittings for fluid delivery and collection external of the patient.