I hear there is a hypothesis that the Finno-Ugric languages could somehow be related to the Altaic languages. I find this very puzzling because it is amazing how the languages of both families are spread out, and some of the roots and syntax seem convincing. It would be funny to think that Finnish and Mongolian are distantly related to each other.
Я буду солнце петь, небо петь. Я буду на тебя не смотреть.
That's probably if we assume the theory of a huge migration of mongolian people that settled up Finland and Russia as correct. The hypothesis you heard is very common, according to me i think it's a bit fabolous, i mean that the linguists who set it up had only brought to their mind the history of that culture without counting what really fits to the two language-families