Inclusion Criteria:

          1. Subjects must have their diagnosis of high-risk AML or high-risk MDS confirmed by
             pathologic review of bone marrow biopsy according to WHO guidelines

          2. Patients will be defined as high risk AML and thus eligible if they meet one or more
             of the following criteria:

               1. Secondary AML (from underlying MDS or therapy related)

               2. Presence of complex cytogenetic abnormalities (3 or more cytogenetic
                  abnormalities), all monosomies, del 5q, del 7q, inv3, t(3;3), t(6;9), t(9;22),
                  abn 11q23 (excluding t(9;11))

               3. Fms-like tyrosine kinase 3 (FLT3)-internal tandem duplication (ITD) mutation
                  positive

               4. Age ≥ 65 years given poor outcomes even with favorable cytogenetics

          3. Patients will be defined as high risk MDS and thus eligible if they have a MD Anderson
             Comprehensive Cancer MDS Risk Score ≥9

          4. Subjects must have Eastern Cooperative Oncology Group (ECOG) Performance status of
             0,1,or 2; if ECOG 2, they must also have a Charlson comorbidity index of ≤5.

          5. Subjects must be 55 years of age or older

          6. Subjects should have a 3-5/6 HLA-matched related haploidentical donor who is evaluated
             and deemed able to provide DLI.

          7. Patient should be able to provide informed consent

          8. Subjects must have a multigated acquisition (MUGA) and /or ECHO or cardiac magnetic
             resonance imaging (MRI). The required minimum standards include MUGA or ECHO or
             cardiac MR showing an ejection fraction( EF) of 40%. Those with an EF 40-49% must also
             have a cardiologist consult and assist with management.

          9. Pulmonary function tests (PFTs) with diffusing capacity of lung for carbon monoxide
             (DLCO) are conditional for subjects at the discretion of the physician. The required
             minimum standards for those who have PFTs include DLCO of 40%. Those with DLCO of
             40-49% must have a pulmonologist consult and assist with management.

         10. Subjects of all genders and races are eligible

        Exclusion Criteria:

          1. Pregnant or lactating women.

          2. Patients with other major medical or psychiatric illnesses which the treating
             physician feels could seriously compromise tolerance to this protocol

          3. Patients with known active central nervous system (CNS) disease

          4. Patients with acute promyelocytic leukemia (FAB M3)