Nenad Zimonjic and Viktor Troicki won the doubles to give Serbia an insurmountable lead in the Davis Cup first-round match against Russia.
The pair beat Konstantin Kravchuk and Andrey Kuznetsov 6-3 7-6 (7-3) 6-7 (7-5) 6-4 on Saturday.
Serbia secured the tie 3-0 ahead of the reverse singles on Sunday and will play either Croatia or Spain in the quarter-finals.
Novak Djokovic, playing his first match since losing in the second round of the Australian Open, and Troicki gave Serbia a 2-0 lead with singles victories on Friday.