Prior to receiving treatment, some patients may undergo diagnostic and/or other testing of their tissue, if available, to determine if their CMV infected cells are likely to respond to treatment with CMV specific T cells. Alternatively, blood samples may be required for research tests to ascertain that the CMV-specific T-cells do not contain any cells that could react against the patient. These patients will sign a separate pre-treatment consent. If it is determined that a patient will qualify for and might benefit from infusions of CMV CTLs, he/she will go on to sign the standard treatment consent for MSKCC IRB # 05-065 and be enrolled and treated on trial, if all other eligibility criteria are met.