It participated in the third-tier Soviet Second League and was notable for giving the start for the careers of Oleg Romantsev, Vasili Kulkov and Aleksandr Mostovoi.

In 1990, when perestroika policies allowed the creation of private enterprises in the Soviet Union, the club was purchased by an Iraqi businessman Hussam Al-Khalidi who renamed the club to Asmaral (after the initials of his three children – daughters Asil and Mariam and son Alan).

Al-Khalidi hired an acclaimed coach Konstantin Beskov and a former Spartak Moscow star Yuri Gavrilov.

A separate club called FC Presnya Moscow participated on the professional level in the Russian Second Division from 2004 to 2006.

Players whose name is listed in bold represented their countries while playing for Asmaral/Krasnaya Presnya.