Lukaku, who has scored 24 goals in the Premier League this season, was unable to inspire the Toffees as Antonio Conte’s Blues moved a step closer to the title.
The Belgian striker is expected to be on the move this summer after telling boss Ronald Koeman that he did not intend to extend his contract at the club.
And reports say Chelsea, who sold Lukaku three years ago, intend to secure his signature once again in a £70million move.
After Pedro, Gary Cahill and Willian bagged second-half goals to down Everton 3-0, Lukaku was filmed in the tunnel with Chelsea technical director Emanalo.
Watch the video below:
Lukaku, 23, is also attracting interest from Jose Mourinho’s Manchester United and Ian Wright believes a lack of quality at Everton will convince him to leave.
‘I can see the frustration,’ the former Arsenal and England striker told Match of the Day.
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‘You look at the reason he may not have signed a deal to this point. Yes, he may have scored 25 goals to this point, 24 in the Premier League but he must be frustrated himself because he could get more.
‘He must be thinking: “I’m looking at Chelsea, looking at Costa, looking at the chances they’re getting all the time being involved in the game” – that might turn his head.’