"I think when a person insults another you can expect a response".
The duo have traded barbs over recent weeks, with Conte claiming Mourinho was suffering from amnesia after the Manchester United boss branded some of his contemporaries - without naming any individuals - "clowns" for their antics on the touchline.
Conte says our attacking struggles are down to the whole team and not any one individual.
Conte had seen enough and replaced the disappointing Hazard with Pedro, while Fabregas got the chop for Willian as Chelsea switched to a 3-4-3.
Claude Puel's side started the second half well although Mahrez was fortunate not to be booked when he dived inside the penalty area under Andreas Christensen's challenge.
"We didn't suffer defensively".
GETTY Antonio Conte wanted Chelsea to sign Arsenal star Alexis Sanchez
Chilwell set up Shinji Okazaki, who poked his shot wide before Jamie Vardy, restored to the Leicester line-up following injury, shot into the side-netting.
Chelsea threatened when Eden Hazard teed up Cesc Fabregas for a powerful drive that Kasper Schmeichel palmed away.
Speaking to Sky Sports, the Belgian said: "It doesn't help when the fans boo and whistle after each misplaced pass".
Conte had been wary of the Foxes and his concern proved well founded.
Fabregas almost put Chelsea ahead against the run of play, but the midfielder's drive was tipped over by Schmeichel.
The hosts were handed a way into the game when Chilwell was dismissed after two bookings in five minutes, but even then the closest they came was an effort from Tiemoue Bakayoko that went over the bar.
However, the best Chelsea could manage were harmless long-range strikes from N'Golo Kante and Marcos Alonso as Leicester held firm to leave Conte grumbling his way down the tunnel at full-time.
Alert Level 3 raised over Mayon; 919 families evacuate - NDRRMC
On Sunday morning, Phivolcs said two more steam-driven ash explosions were recorded, producing grayish steam and ash plume. The volcano's most recent deadly activity came in 2013 when it suddenly spewed clouds of ash, killing five climbers.