WT1-Sensitized Allogeneic T-Lymphocytes(NCI)

This phase I/II trial studies the side effects of laboratory-treated T cells and to see how well they work in treating patients with high-risk acute myeloid leukemia (AML), myelodysplastic syndrome (MDS), or chronic myelogenous leukemia (CML) that has returned after a period of improvement (relapsed), previously treated with donor stem cell transplant. Biological therapies, such as cellular adoptive immunotherapy, may stimulate the immune system in different ways and stop cancer cells from growing. Placing a gene that has been created in the laboratory into a person's T cells may make the body build an immune response to kill cancer cells.