The first half was very open and Victor Moses had an early effort blocked before Leicester took a firm grip on the game.
Chelsea are in third place in the Premier League table and 16 points adrift of leaders Manchester City to all but rule out retaining their title.
The Blues were second best all afternoon and could not even find a way through an impressive Foxes side after Ben Chilwell had been sent off in the second half after picking up his second booking of the match.
"Obviously we all feel a little bit exhausted, previous year we went from week to week, but now we have already played a lot of games".
Having grown used to big-name managers coming and going in the era of owner Roman Abramovich, they hardly seemed heartbroken at the possibility of another change on the bench.
Conte retorted by calling Mourinho a "little man".
Next Round Of Snow Monday Night
With that said, a band of snow breaks out for parts of central and western Kentucky before sweeping eastward into Monday evening. We're tracking wind chills between -15° and -25° as you head out the door Tuesday morning.
Chelsea and United could go head-to-head to sign Alexis Sanchez, who is in the final six months of his contract at Arsenal and could be acquired for a transfer fee in the region of £35m in January.
"It doesn't help when the fans boo and whistle after each misplaced pass".
Chelsea improved after coach Antonio Conte replaced Eden Hazard and Cesc Fabregas with Pedro and Willian in the 58th minute.
And it was a tepid performance that wasn't lost on manager Conte, who refused to lay the blame at the feet of Chelsea's misfiring strikers, Alvaro Morata and Michy Batshuayi.
Chelsea were still in disarray after the interval and Riyad Mahrez's deflected effort nearly crept in, prompting Conte to send on Willian and Pedro for Hazard and Fabregas.
The result represented the first time Chelsea have drawn three straight matches 0-0 in their history, and Conte blamed fatigue rather than singling out the misfiring Morata.