I'm writing a whole thesis right now on the connections between Ancient Indian Philosophy and Psychoanaylsis. It's almost done, maybe I'll post it here for you guys to read.
Yes. Romaka in Sanskrit literature is Egyptian Alexandria not Rome as one might think. It was the major port of trade between East and West during the Graeco-Roman era and an intellectual center thanks to the library. Indian philosophers were known to have been present there. (Though, again, we don’t precisely precisely know if they were Buddhists or some other sect.)