So, regardless of the Old English, what I've wrote in my first comment is actually pretty accurate.
In common Romanian you'll have: See you soon! = La revedere/Pe curând Bye! = Pa! Safe travels/Safe journey = Drum bun
Few exceptions which I don't think you can have a pinpoint translation but you do have an approximate: Good Bye! = Pa pa! / La Redevedere Farewell = Drum Bun ( here i'd rather go with "La revedere" because if I'm not mistaking when you say Farewell you expect to see the other person again - correct me if I'm wrong)
Also when you leave from a group of friends you casually say "Bye" or "Good Bye" in English. In this case mostly used is either "Pa" ( for very close friends or kids ) or "Salut!"