Conte's side went ahead through Cesar Azpilicueta's first-half strike at Stamford Bridge.But Chelsea missed a host of chances to increase their advantage and were made to pay when Javier Hernandez came off the bench to snatch the leveller with 17 minutes left.
West Ham were also indebted to a fine display in goal from Hart, who produced several brilliant saves in arguably his best display for the club since joining on loan from Manchester City.
Fellow Ireland U21 global Josh Cullen made his second Premier League appearance this season off the bench against Chelsea yesterday, his third in total. None of these will be easy games for the Hammers. If West Ham can win one or two of those matches, they could be blowing bubbles in the Premier League for another season. Morata powered a free header over the bar from an out-swinging Willian corner, and on the hour-mark the Spaniard was perhaps harshly called offside when finishing off a swift counter-attack.
The victory stretches Arsenal's winning streak in all competitions to six successive matches and lifts them to 54 points, three behind Chelsea, who in turn trail Tottenham in fourth by ten points. Jumping over both Angelo Ogbonna and Pablo Zabaleta earned him an assist as the ball fell to goalscorer Azpilicueta. Many games where we put in a good performance, creating many chances to score, but we are not clinical.
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Chelsea's swagger initially continued after the interval, with Willian dragging a shot just wide and Morata heading over from a corner. The Blues now need to make up a deficit of 10 points with only six games remaining.
"I'm pleased for him because he has been through hard times", said Wenger.
The Belgian goalkeeper has not figured for the Blues since their 3-0 Champions League defeat to Barcelona on March 14.
The defender added: "I think we begged for the goal, and in the second half, or even in the first half we could have finished the game, but like the last few months we couldn't, and we conceded at the end". The club should be more anxious of dropping farther than fifth. His celebration showed class with a dedication to Ray Wilkins; we've come to expect no less from the 28-year-old as he really is a model professional.