Swansea continued to find it difficult in the second half until the 69th minute, when Michu gave them the lead. The Spanish international slid in ahead of the goalkeeper to turn the ball in after Alejandro Pozuelo's chipped pass.
Substitute Alvaro Vazquez then failed to test the goalkeeper after a run from Nathan Dyer, before a risky challenge from Angel Rangel could have resulted in a Krasnodar penalty.
The visitors were awarded a spot kick in the final minute when Gerhard Tremmel brought down Ibrahima Balde. Former Liverpool man Cisse stepped up and made no mistake to earn his side a point.