ABO incompatibility and positive cross match between the donor and the recipient are no longer considered absolute counter indications to renal transplantation. One-year and 5-years graft survival are similar to ABO compatible transplantation, although a higher incidence of acute humoral rejection is observed. Calcineurin inhibitors nephrotoxicity can be reduced since the introduction of new immunosuppressive drugs. Two forms of peritoneal dialysis are available: continuous ambulatory peritoneal dialysis and automated peritoneal dialysis. In each situation the treatment must be tailored to the patient. Various clinical and biological parameters allow to judge the adequacy of the peritoneal dialysis. The last guidelines fixed the minimal target value of one of them, the Kt/V, at 1.7