Subjects will continue to be followed by their transplant doctors after the injection. The subject will either be seen in the clinic or they will be contacted by a research nurse to follow up for this study every week for 6 weeks then at 8 week and 3, 6 and 12 months. The subject may have other visits for their standard care. Subjects will also have regular blood tests done to follow their counts and the viral infection. To learn more about the way the T cells are working in the body, up to an extra 30-40 ml (6-8 teaspoons) of blood will be taken before the infusion and then at 1, 2, 4, 5, 6 and 8 weeks and 3 months. Blood should come from the central intravenous line, and should not require extra needle sticks.