The Russian giants have identified the talented defender as a good long-term replacement for veteran stopper Sergei Ignashevich.
And they are hoping to lure the Czech player to Moscow at the end of the current season, so that he would have an opportunity to adapt to the new surroundings before Ignashevich ends his playing career.
Kalas, 20, was plucked from Sigma Olomuc in January 2011 and he has since enjoyed two very successful loan spells with Chelsea feeder club Vitesse.
The 20-year-old was again expected to be loaned out in the summer, but Jose Mourinho opted to keep him at Stamford Bridge instead.
However, he has since made just one substitute appearance in the Champions League and has yet to be handed his Premier League debut, so no wonder CSKA officials believe he would be interested in a move to Russia.