All participants on this study will be infused with the same number (dose) of cells. If Viralym-B infusion has helped the subjects infection or if they have had a treatment, for example with steroid drugs that might have destroyed the T cells the subject was given, then they are allowed to receive up to 4 additional infusions of the Viralym-B cells at the same initial dose level from 28 days after their initial infusion. Following infusions should be at least 14 days apart. After each Viralym-B cells infusion, subjects will be monitored as described above.