The 2013–14 FC Krylia Sovetov Samara season was the 20th, and final, successive season that Krylia Sovetov played in the Russian Premier League, the highest tier of football in Russia. They finished the season in 14th place, going into a Relegation Play-off against FC Torpedo Moscow which they lost 0-2 on aggregate. They also reached the Fifth Round of the Russian Cup, going out on penalties to FC Sokol Saratov.