This is a phase 1/2, open-label, proof-of-concept, staggered 4-cohort clinical study. Each cohort will include 3 patients with hemato-oncology disorders eligible for allogeneic HLA-matched HSCT. Patients in all cohorts will undergo similar study procedures and evaluation. The cohorts will differ from each other in the amount of apoptotic mediator Fas Ligand (APO010) to which the graft is exposed during incubation prior to ApoGraft transplantation and HSCT, ranging from 10 ng/ml APO010 in Cohort 1, 25 ng/ml APO010 in Cohort 2, 50 ng/ml APO010 in Cohort 3 and 100 ng/ml APO010 in Cohort 4. APO010 is washed-out as part of the ApoGraft process and only trace amounts of APO010 are present in the final ApoGraft product