Patients have a type of cancer called nasopharyngeal carcinoma (NPC) which has either come back, not gone away or is at high risk for coming back after the best treatment we know for this disease. We are inviting patients to participate in a research study using a new experimental therapy consisting of special immune system cells called LMP1- and LMP2-specific cytotoxic T lymphocytes (LMP1- and LMP2-CTLs).