 Our prior experience in the lab and in clinical trials with non-myeloablative HLA-matched and mismatched transplant strategies have been remarkable for a low transplant related mortality rate, but a still formidable risk of GVHD and graft rejection. In this trial, we have incorporated a combination ex-vivo T-cell depletion strategy to prevent GVHD with vigorous in vivo depletion of host and to a lesser extent donor T-cells to prevent graft rejection. 