Retour
Jack Grealish of Everton applauds the fans
The Toffees, at kick-off, were one of three unbeaten teams in the Premier League, along with Manchester City and Brentford, although four of those six games were draws.
But they could not equal their longest undefeated start to a Premier League season - when they managed three wins and four draws in their opening seven games of 2006-07.
They did have chances with the game goalless, most notably Thierno Barry's close-range header which was straight at Emiliano Martinez.
Everton's only senior striker has attempted more shots than anybody else this season in the Premier League - 25 - but has only scored three times.
There were several flashpoints in the first half, with five bookings – and Everton felt Morgan Rogers should have been given a second yellow for a 50-50 with James Garner.
But once Chelsea scored, David Moyes' home side never looked like coming back, and they only had two shots in the second half.