OBJECTIVES: I. Examine the toxic effects of allogeneic Epstein-Barr virus (EBV) specific cytotoxic T lymphocytes (CTL) for the treatment of EBV lymphoproliferative diseases (LPD) in organ transplant recipients. II. Determine the level of in vivo expansion of allogeneic CTL and the period of time during which these CTL's can be detected in the blood of recipients of the T cell infusions.