For more than an hour it remained goalless at Goodison Park, but the air of confidence Antonio Conte's side carry meant it never felt as though they were in danger and there was a certain inevitability about the goals from Pedro, Gary Cahill and substitute Willian in the final 25 minutes.
That was not taking anything away from their opener - an unstoppable strike from the former Barcelona forward - but it was another of those typically attritional performances in which their quality ultimately shines through.
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Everton XI: Stekelenburg, Holgate, Jagielka, Ashley Williams, Baines, Gana, Davies, Valencia, Barkley, Calvert-Lewin, Lukaku
Subs: Robles, Kone, Mirallas, Barry, Lookman, Pennington, Kenny
Chelsea XI: Courtois, Azpilicueta, Luiz, Cahill, Moses, Kante, Matic, Alonso, Pedro, Hazard, Costa
Subs: Begovic, Fabregas, Zouma, Ake, Willian, Batshuayi, Chalobah
Referee: Jon Moss
Ronald Koeman: "The pressure is always for the teams who are behind the first - they have more pressure because if they cannot get a good result, Chelsea are still the first in the league.
"Chelsea are strong, they are confident, but they know it will be a tough game for them to come this Sunday."
Antonio Conte: "For sure, Lukaku's a good player because he showed in this different season that he scored a lot of goals.
"He's a good guy but for us Diego [Costa[ is a very important player and, in this part of the season, he will be decisive for us.