Hi, I can't answer for the Red Cross, but I would doubt that they screen for EBV, because approximately 90% of adults have the virus (although it's dormant in most people). I'm also not sure about the blood transfusion; again though, the most likely scenario is that the person receiving the blood has already contracted the virus, so it wouldn't really matter. Of course, I'm not a doctor, and I don't know for sure; if anyone has more definite answers, please let us know!