Hungarian (Magyar) is a member of the Ugric family--the other languages in the group are spoken by small numbers of people in western Siberia. The Ugric languages are related to the Finnic languages (Finnish, Estonian, and a few others) in the "Finno-Ugric" group. The Finno-Ugric languages are grouped with the Samoyed languages to form the Uralic language family (the 4 Samoyed languages combined are said to have only 30,000 speakers).
One point of contact is the word for 100--sata in Finnish, sada in Estonian, and szaz (pronounced "sahz") in Hungarian...all derived from a form similar to the Avestan (Old Persian) word satem meaning "one hundred." Maybe that means the Proto-Finno-Ugric speakers didn't have a word for 100 until they came into contact with the Proto-Indo-European speakers. Or maybe they just thought the PIE word was cooler.
O.K. Thanks for the info.