History of allogeneic organ transplantation CRITERIA FOR ALLOGENEIC TRANSPLANTATION Prior autologous or allogeneic organ or tissue transplantation History of allogeneic organ transplantation. No prior history of organ transplantation or brain metastasis History of organ transplantation including previous history of liver transplantation Has had prior liver or other organ transplantation History of organ transplantation No major organ dysfunction precluding transplantation. Patients who are candidates for allogeneic transplantation, have a suitable donor, and are willing to undergo transplantation Anticipated liver transplantation Prior allogeneic transplantation Prior organ transplantation including allogeneic stem cell transplantation, brain metastases (except those meeting certain protocol specified criteria which are acceptable), significant acute or chronic infections, a history of cardiovascular/cerebrovascular disease. Patients with autoimmune disorders or history of organ transplantation who require immunosuppressive therapy Previous allogeneic or autologous hematopoietic cell transplantation or solid organ transplantation Patients who have had a liver or any organ transplantation Patients with prior orthotropic liver transplantation History of allogeneic organ transplantation Patients who have undergone prior liver transplantation are ineligible PHASE I: Patients who are between T+ and T+ after allogeneic transplantation PHASE I: Patients who have evidence of donor chimerism after allogeneic transplantation Prior organ transplantation History of organ transplantation No major organ dysfunction precluding transplantation Patients who have undergone prior liver transplantation are ineligible Relapsed after allogeneic transplantation History of organ transplantation Use of any of the following after transplantation and prior to starting study therapy: Relapsed malignancy after transplantation History of organ transplantation Patient diagnosed with hepatocellular carcinoma and listed for orthotopic liver transplantation at the participating institution in accordance with Organ Procurement and Transplantation Network (OPTN) guidelines Relapsed after allogeneic transplantation At least days from day of transplantation Prior autologous or allogeneic organ or tissue transplantation Patients considered for transplantation must have a sufficient graft as based on current criteria of the University of Minnesota Blood and Marrow Transplantation Program History of allogeneic organ transplantation Receipt of any organ transplantation History of allogeneic organ transplantation. Prior autologous or allogeneic organ or tissue transplantation No prior autologous or allogeneic organ or tissue transplantation History of allogeneic organ transplantation. History of organ transplantation ALLOGENEIC TRANSPLANTATION: History of organ transplantation History of organ transplantation Subjects who are candidates for allogeneic transplantation, have a suitable donor, and are willing to undergo transplantation History of organ transplantation Previous liver transplantation Prior allogeneic transplantation Patients who have undergone liver transplantation are excluded History of major organ transplantation History of major organ transplantation Prior allogeneic transplantation Subject has had or has planned to receive any organ transplantation; Patients who have received liver transplantation History of organ transplantation. History of allogeneic organ transplantation; History of allogeneic organ transplantation Subjects who relapse after allogeneic transplantation; Patients who have undergone prior liver transplantation are ineligible History of organ transplantation Patient must have no history of organ transplantation or ongoing immunosuppressant therapy Had organ transplantation History of any organ transplantation Patients that underwent allogeneic transplantation as a treatment of graft failure History of organ transplantation. Patients that underwent allogeneic transplantation as a treatment of graft failure History of organ transplantation Participant who has a history of organ transplantation. Prior organ transplantation Prior allograft transplantation including liver transplantation. Has received a prior allogeneic organ or tissue transplantation The participant has received a prior autologous or allogeneic organ or tissue transplantation. Patients who have undergone prior allogeneic transplantation are eligible provided that their transplant day is > months from their first dose of study drug Transplantation of PBSC Prior allogeneic transplantation History of major organ transplantation with an existing functional graft Transplantation with PBSC Prior allogeneic transplantation Individual with history of any organ transplantation