But the Blues did find a third in the 73rd minute, with Cesc Fabregas picking out the bottom corner from the penalty spot - having been ordered to retake his original effort - after Willian had been tugged back by Maksim Medvedev. Alvaro Morata, Marcos Alonso, and Eden Hazard (2) all found the net as the Blues proved to be the final nail in Tony Pulis' coffin.
And Willian, on his 200th appearance for Chelsea, struck again with five minutes remaining, collecting Pedro's pass and belting home from 25 yards out.
Chelsea are sitting second in the group on seven points, one behind Roma and a win would see them earning a second round place with one game left to play.
Group D leaders Barca need just a point to do so, while a draw would also be good enough for second-placed Juve to join their opponents in the last 16, should Sporting Lisbon fail to win at home to Greek side Olympiakos. In today's game, it is sure that Chelsea will win against FK Qarabag.
Boss Antonio Conte must make do without wing-back Victor Moses, who is out with a hamstring injury, while attackers Charly Musonda and Michy Batshuayi are sidelined with knee and ankle injuries, respectively.
Regardless of the slight problems Chelsea face in relation to their squad size, recent domestic victories and the prize of knockout round qualification should be enough to get Conte's men through this one. They showed the right mentality.
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