Conte's side produced a limp display and could easily have lost to a Leicester team who missed a host of first-half chances.
Defender Ben Chilwell received two yellow cards in the space of five second-half minutes, and was shown no mercy by the referee when he brought down Moses in the 68th minute.
It is the first time in the Blues' entire history that they have been held to a goalless draw three times on the spin.
Chelsea did not create enough goal scoring chances which has now given Manchester United a chance to extend their lead at second place when they face Stoke City. If Conte is unable to motivate his players then we have very little chance of progressing in the competition.
"At the same time, against Norwich we played 3-4-3 with Pedro, Willian and Batshuayi, but we didn't score", Conte said.
Took greater responsibility for monitoring Vardy and Shinji Okazaki when Gary Cahill left the pitch injured, and assuming the captain's role came easily to the Spain global.
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Chelsea are scheduled to play United at Old Trafford on February 25, unless the Blues reach the Carabao Cup final at Wembley, which will be staged on the same day. I thought that two games, after two-and-a-half days, for the same players was normal to recover.
April 2017: As Chelsea closed in on the title, Conte offered Mourinho, who spent over £150 million (S$272.3 million) on new signings, a reminder: "This season it's very important to understand that it's not always who spends more money who wins".
"When I chose to put fresh energy on with Willian and Pedro, the game changed".
West Brom 2-0 Brighton and Hove Albion West Brom's long wait for a Premier League win finally ended as Brighton were beaten 2-0 at The Hawthorns.
Chelsea got the better of the Red Devils in their first Premier League meeting of 2017-18, winning 1-0 at Stamford Bridge.
Watford 2-2 Southampton Abdoulaye Doucoure's controversial last-gasp equaliser denied Southampton a first win in 10 matches. We played the game against Arsenal on Wednesday night and we didn't have a lot of time to recover.