I know that the Mongols made it as far as the Holy Roman Empire, but did they ever make it up to Norway or any place close enough for them to have fought or traded?
You might be interested in some previous threads on meetings between the Mongols and Vikings:
Did Mongols ever encounter Vikings or visa versa? - 7 comments, over 1 month old.
A flaired commenter in this thread summarizes the issue of time periods and discusses the cultural evolution of the Vikings into other groups.
Were there "thriving ethnically Mongolian subcultures" in Viking-era Scandinavia? - 30 comments, over 4 months old.
This thread delves into contact between the Vikings and various Steppes peoples with a copious amount of free, internet accessible secondary sources interspersed throughout.
Did Vikings ever encounter Muslims or Mongols? - 30 comments, over 1 year old.
There are some mentions of known and likely contacts, but little detail given to any particular incident.