Cytotoxic T-Lymphocytes for EBV-positive Lymphoma, GRALE

Subjects (or their syngeneic donor) will give blood for investigators to make EBV-specific (GRALE) T cells in the lab. These cells will be grown and frozen for the subject. In this study, patients may also receive cyclophosphamide and fludarabine. These two drugs are standard chemotherapy medicines and may be given before the T cells to make space in the blood for the T cells to grow after receiving them. These drugs will be given intravenously daily over three days. The GRALE T cells will then be thawed and injected into the subject over 1-10 minutes. Initially, two doses of GRALE T cells will be given 2 weeks apart. If after the 2nd infusion there is a demonstrated partial response or stable disease in the size of the lymphoma on CT or MRI scan as assessed by a radiologist, the subject can receive additional doses of the GRALE T cells if they wish (up to 6 times). Follow up testing will be collected just like after the 1st infusion. All of the treatments will be given by the Center for Cell and Gene Therapy at Texas Children's Hospital or Houston Methodist Hospital. Investigators will follow the subjects after the injections. They will either be seen in the clinic or the subject will be contacted by a research nurse yearly for 5 years. If they receive additional doses of the GRALE T cells as described above, they will be followed until 5 years after the last dose of GRALE T-cells. For patients who receive more than one infusion, follow up will continue every 3 months until 12 months after the last infusion, then yearly thereafter for 5 years.