Nonmyeloablative Stem Cell Transplantation With CD8-depleted or Unmanipulated Peripheral Blood Stem Cells (PBSC)

1. Patients 1.1. Diseases Malignant diseases confirmed histologically and not rapidly progressing: * Hematologic malignancies * AML; * ALL; * CML and other myeloproliferative disorders; * MDS; * Multiple myeloma; * CLL; * Non-Hodgkin's lymphoma; * Hodgkin's disease. * Non-hematologic malignancies * Renal cell carcinoma (metastatic). 1.2. Inclusion criteria * Male or female; female patients must use a reliable contraception method; * Age lower than 70 yrs (family donor) or lower than 65 yrs (unrelated donor); * HIV negative; * No terminal organ failure; * No uncontrolled infection, arrhythmia or hypertension; * Family donor (HLA-identical) or unrelated donor (matched for A-B by low resolution typing and for DRB1-DQB1 by high resolution typing); * No previous radiation therapy precluding the use of 2 Gy TBI * Informed consent given by patient or his/her guardian if of minor age. 1.3. Clinical situations * Theoretical disease indication for a standard allo-transplant, but not feasible because: * Age \> 55 yrs; * Unacceptable end organ performance; * Patient's refusal. * Indication for a standard auto-transplant: * perform mini-allotransplantation 2-6 months after standard autotransplant. * Not an indication for intensification but a potential candidate for cellular immunotherapy. 2. Donors 2.1. Inclusion criteria * Related to the recipient (sibling, parent or child) or unrelated; * Male or female; * Weight \> 15 Kg (because of leukapheresis); * HIV negative; * No major contraindication for allogeneic PBSC donation by generally accepted criteria; * Informed consent given by donor or his/her guardian if of minor age. 2.2. Exclusion criteria * Any condition not fulfilling inclusion criteria; * Unable to undergo leukapheresis because of poor vein access or other reasons.