Allogeneic stem cell transplantation (ALLO) is the treatment of choice for many hematological diseases. However, HLA identical donor (sibling or unrelated) is available for 50-60% of patients and alternative donors are needed. Haploidentical donors have been used for many years, mostly after extensive T-cell depletion of peripheral stem cell, to avoid Graft Versus Host Disease (GVHD). Recently, promising data have been reported with haploidentical transplantation using T-replete bone marrow (BM) and high-dose cyclophosphamide (Cy) post-transplantation. However, the conditioning regimen did not contain drugs active against hemopathies, enhancing the relapse risk.