I'd probably like to exclude Greece from this as I get the feeling that's kind of common. I was thinking more along the lines of Carthage, Parthia, maybe a Gaulish nation, etc.
Here is a recent thread on the Chinese perception of the Roman transition to the Eastern empire: https://reddit.com/r/AskHistorians/comments/3oc1cz/did_ancient_china_know_about_the_fall_of_the/. There are a number of resources mentioned in the discussion of that post.