Given the shortage of organs transplantation, some strategies have been adopted by the transplant community to increase the supply of organs. One strategy is the use of expanded criteria for donors, that is, donors aged >60 years or 50 and 59 years, and meeting two or more of the following criteria: history of hypertension, terminal serum creatinine >1.5mg/dL, and stroke as the donor´s cause of death. In this review, emphasis was placed on the use of donors with acute renal failure, a condition considered by many as a contraindication for organ acceptance and therefore one of the main causes for kidney discard. Since these are well-selected donors and with no chronic diseases, such as hypertension, renal disease, or diabetes, many studies showed that the use of donors with acute renal failure should be encouraged, because, in general, acute renal dysfunction is reversible. Although most studies demonstrated these grafts have more delayed function, the results of graft and patient survival after transplant are very similar to those with the use of standard donors. Clinical and morphological findings of donors, the use of machine perfusion, and analysis of its parameters, especially intrarenal resistance, are important tools to support decision-making when considering the supply of organs with renal dysfunction.