Buriat (also known as Buryat) is a language of Russia (Eur-Asia).
For more information, see SIL Ethnologue code bua.
Download the Buryat New Testament in pdf format from The Institute for Bible Translation in Russia.
The "JESUS" Film, based on the Gospel of Luke, has been translated into Buriat. You can view it online or order a copy from www.jesusfilmstore.org. Or order by phone from Campus Crusade at 1-800-432-1997.
If you're looking for a print Bible, you might try contacting the Bible Society in Russia for more information.