Chelsea used their sheer quality and ability to force an impressive comeback against a Liverpool side who are currently struggling for form with the one of the worst home goalscoring records thus far this season just ahead of Burnley and Aston Villa.
Both sides experienced a very open start and Emre Can could have opened the scoreline within a minute even being played when his ambitious shot deflected wildly off Gary Cahill to loop just high and wide.
But the German midfielder came back for second helpings with a long range effort just eight minutes later, and this time his luck was in when once again Cahill's body diverted the ball away from Thibaut Courtois, but this time into the back of the net.
Chelsea made an almost instant response though when Cahill, who seemed to be at the centre of everything in the opening fifteen minutes, scrambled home a goal-mouth scrap with the assistance of the revolutionary piece of technology, hawkeye.
Mario Balotelli then thought that he had put the hosts back in front moments later to score his opening Premier League goal for Liverpool but his cool and calm finish was ruled out through a tight offside trap from the well organised Chelsea defence.
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As the game wore on, Liverpool's chances were reduced to very few, so when Philippe Coutinho showed an exquisite burst of pace followed by a low drive, the home fans had a little more encouragement but the strike was expertly dealt with by the Blues keeper.
The last ten minutes of the opening interval was swaying predominantly in the favour of Chelsea. Eden Hazard had a handful of opportunities but two of those were blocked desperately by Glen Johnson while the other was saved by Simon Mignolet.
The home side showed a bit more optimistic spirit in a calmer second half and Raheem Sterling nearly restored the Reds' lead with an angled effort before Eden Hazard broke to the other end where a decisive block from Steven Gerrard denied them the advantage.
Mourinho's men turned up the pressure
But the pressure from Chelsea finally paid off when Simon Mignolet diverted a Cesar Azpilicueta cross into the path of the ruthless forward Diego Costa who could do nothing but put the ball into the back of the net to score his 10th goal of the season.
Both sides then relaxed a little more until Liverpool's desperate surge of pressure in the last ten minutes which could have seen them awarded a penalty for a handball from Cahill but referee Anthony Taylor once again turned away the loud claims from the fans in the Kop end.