The fight lasted all five rounds.
Abdulaev was declared the winner by a split decision, thus becoming the ACA welterweight champion.
Now, 34-year-old Abdulaev has 18 wins and four defeats in his track record.
For 30-year-old Bagov, this loss was 11th with 29 wins.
Earlier, ACA President Alexei Yatsenko spoke about the current state of Alexander Emelianenko.