KIR3DL1 and acute myeloid leukemia: The beneficial effect of NK cell alloreactivity based on HLA class I mismatches in terms of KIR ligands in the graft-versus-host direction (GvH) was initially underlined in the context of T-cell-depleted haplo-identical HSCTs, specifically for AML patients without relapse and aGvHD [135,136].