Japanese midfielder Keisuke Honda scored the winner as CSKA Moscow warmed up for Tuesday's Champions League trip to Sevilla with a 1-0 win over Amkar Perm on the opening day of the new Russian season on Sunday.
Honda, signed from Dutch side VVV-Venlo, marked his league debut with the winner in the third minute of injury time, slotting the ball home from Tomas Necid's drive.
CSKA will go to Spain having been held 1-1 in the first leg of their Champions League last 16 tie by Sevilla.
Defending champions Rubin Kazan began the defence of their Russian Premiership title with a 2-0 win over Lokomotiv Moscow, but they left it late to secure the three points.
Second-half substitute midfielder Andrei Gorbanets scored from just inside the box in the 87th minute with skipper Alexander Bukharov adding the second in the dying moments.
"We were in need of a victory ahead of our return Europa League match at Wolfsburg," said Rubin manager Kurban Berdyev. "I believe we won deservedly. I set my players to play aggressively and I would be upset if we lost points today."
Dynamo Moscow started their new season with a hard-fought 1-0 win over nine-time champions, and bitter city rivals, Spartak Moscow.
Midfielder Igor Semshov fired in the winner in the 72nd minute before Spartak were reduced to 10 men when defender Alexander Sheshukov was sent off for a second bookable offence with five minutes remaining.