Spartak Nalchik played out a goalless draw with Krylya Sovetov but it was not enough to save it from relegation from the Russian Premier League.
Krylya finished the match with 10 men following the 84th-minute dismissal of Khyzyr Appayev, but the home side was unable to take advantage in the final minutes.
The result leaves Spartak 10 points adrift of safety with just three matches remaining.
Tomsk kept alive its slim hopes of avoiding the drop with a goalless draw at home to Amkar Perm, although it is eight points from safety and will need to win its remaining matches to stand any chance of staying up.
Volga Nizhny Novgorod sits above the bottom two but is not safe yet after slipping to a 2-1 loss at Krasnodar.
Rostov will avoid a bottom-two finish following a 1-1 draw against Terek Grozny.