He celebrated by holding his hands in a ‘W’ shape – in salute to team-mate Willian, missing because of the death of his mother back in Brazil.
Hazard, who repeated the gesture when he scored later in the game, said: “We all feel for Willie. Losing your mother is hard. We were all thinking of him, that is why we made the signs. So sad. Hopefully, he will come back stronger.”
Relieved Conte added: “The players dedicated their goals to Willian and I dedicate the game. Willian is a fantastic guy and we are thinking of him and his family.”
Leicester arrived having won only once in 25 attempts at Stamford Bridge since October 1965 and Chelsea almost inflicted more damage when David Luiz struck the crossbar with a fierce 30-yard free kick.
It was inevitable Chelsea would eventually make another breakthrough.
It came when Matic, imperious in midfield, surged forward and threaded a pass that bounced off Robert Huth.
The ball looped high in the air, only for Pedro to somehow flick it into the path of Hazard, who waltzed round Kasper Schmeichel for Chelsea’s second in the 35th minute.