An apparatus for continuous renal replacement therapy, comprising: a blood circuit (10, 20, 30, 60) comprising a blood removal line, a treatment unit, and a blood return line, the blood treatment unit comprising a semipermeable membrane, a first chamber, and a second chamber, the semipermeable membrane being configured for separating the first chamber from the second chamber, the blood removal line having a first end destined to be connected to a vascular system of a subject and a second end connected to an inlet port of the first chamber, the blood return line having a first end connected to an outlet port of the first chamber and a second end destined to be connected to the vascular system; a replacement fluid container configured for containing a medical fluid; an infusion line having a first end connected to the replacement fluid container and a second end connected to the blood circuit (10, 20, 30, 60), particularly a pre-infusion line connected to the blood removal line; a blood pump active on the blood circuit; a replacement fluid pump active on the pre-infusion line; a control unit connected to the replacement fluid pump and to the blood pump and configured for performing a rinse-back procedure for restituting blood to a patient, particularly at the end of the treatment, the rinse-back procedure comprising: - conveying blood contained in the blood circuit (10, 20, 30, 60) towards the second end of the blood return line using the medical fluid, characterized in that the apparatus further comprises: - a second pre-infusion line; - a pre-blood pump fluid pump connected to the control unit and active on the second pre-infusion line; and - a PBP fluid container configured for containing a second medical fluid, in particular the second medical fluid including a solution for regional anticoagulation; wherein the second pre-infusion line has a first end connected to the PBP fluid container and a second end connected to the blood removal line, the second end of the second pre-infusion line being connected to the blood removal line downstream from the first end of the blood removal line and upstream from the blood pump; wherein the rinse-back procedure further comprises: c) controlling (110; 310) the blood pump and the PBP pump to convey fluid from the PBP fluid container towards the treatment unit; d) controlling (112; 312) the blood pump and the PBP pump to stop conveying fluid when a first predetermined amount of fluid has been conveyed. a blood circuit (10, 20, 30, 60) comprising a blood removal line, a treatment unit, and a blood return line, the blood treatment unit comprising a semipermeable membrane, a first chamber, and a second chamber, the semipermeable membrane being configured for separating the first chamber from the second chamber, the blood removal line having a first end destined to be connected to a vascular system of a subject and a second end connected to an inlet port of the first chamber, the blood return line having a first end connected to an outlet port of the first chamber and a second end destined to be connected to the vascular system; a replacement fluid container configured for containing a medical fluid; an infusion line having a first end connected to the replacement fluid container and a second end connected to the blood circuit (10, 20, 30, 60), particularly a pre-infusion line connected to the blood removal line; a blood pump active on the blood circuit; a replacement fluid pump active on the pre-infusion line; a control unit connected to the replacement fluid pump and to the blood pump and configured for performing a rinse-back procedure for restituting blood to a patient, particularly at the end of the treatment, the rinse-back procedure comprising: - conveying blood contained in the blood circuit (10, 20, 30, 60) towards the second end of the blood return line using the medical fluid, - conveying blood contained in the blood circuit (10, 20, 30, 60) towards the second end of the blood return line using the medical fluid, characterized in that the apparatus further comprises: - a second pre-infusion line; - a pre-blood pump fluid pump connected to the control unit and active on the second pre-infusion line; and - a PBP fluid container configured for containing a second medical fluid, in particular the second medical fluid including a solution for regional anticoagulation; wherein - a second pre-infusion line; - a pre-blood pump fluid pump connected to the control unit and active on the second pre-infusion line; and - a PBP fluid container configured for containing a second medical fluid, in particular the second medical fluid including a solution for regional anticoagulation; wherein the second pre-infusion line has a first end connected to the PBP fluid container and a second end connected to the blood removal line, the second end of the second pre-infusion line being connected to the blood removal line downstream from the first end of the blood removal line and upstream from the blood pump; wherein the rinse-back procedure further comprises: c) controlling (110; 310) the blood pump and the PBP pump to convey fluid from the PBP fluid container towards the treatment unit; d) controlling (112; 312) the blood pump and the PBP pump to stop conveying fluid when a first predetermined amount of fluid has been conveyed. c) controlling (110; 310) the blood pump and the PBP pump to convey fluid from the PBP fluid container towards the treatment unit; d) controlling (112; 312) the blood pump and the PBP pump to stop conveying fluid when a first predetermined amount of fluid has been conveyed.