Multiple conditioning regimens have been used for the HSCT, some of which include radiotherapy. Total body irradiation (TBI) has demonstrated to be superior to chemotherapy alone in the phase III FORUM trial. However, concerns for long-term toxicity have made TBI less used. Total marrow and lymphoid irradiation (TMLI) has emerged as a new alternative that can potentially keep the benefits of radiation but reducing toxicity to healthy tissues. The primary objective of this trial is to evaluate the feasibility and safety of TMLI as part of conditioning schemes with or without etoposide for HSCT in patients between age 16 and 45 years with ALL in first line or relapsed disease. As secondary endpoint the efficacy will be assessed by minimal residual disease at 60 days post-transplant, as well as other outcome measures such as non-relapse mortality (NRM), relapse free survival (RFS) and overall survival (OS).