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Everton had no answer to a determined Hammers defence that denied them a single shot on target.
After a torrid first half, Jagielka forced the ball in from a corner only for Robles to give up a stupid penalty. But Barkley and then Lukaku made their own emphatic statements to seal Everton's record 8th consecutive Premier League home win.
Davies scored inside 30 seconds, but Slimani levelled and a soft free-kick was converted by Albrighton inside 10 mins. But Lukaku and then Jagielka put Everton back in front before the break.
Decimated by injuries, Everton fell behind early but Pennington equalized from a corner only to give up another soft goal, with Origi adding a third.
Everton finally took the lead through Mirallas after two chances missed by Lukaku, Schneiderlin scoring just 6 minutes later. Lukaku scored his 19th goal in the last 10 mins.
Everton went behind to a well-struck long-range shot from Kane that Robles seemed to have covered. Kane was gifted his second after the break.
It took a while for Everton dominance to yield a brilliant sweeping goal from Idrissa Gana Gueye, followed up by Lukaku's 17th league goal in the second half.
Everton had some guilt-edged chances to bring back all three points from the Riverside, with Valdes denying both Lukaku and Lookman to leave them scoreless.
Everton got off to the best possible start with a superb strike from Romelu Lukaku in the first minute; he made the second for McCarthy, then scored the third off a gift. But the Cherries came back with two from King before Lukaku scored two more.
Brilliant late goal from Coleman off a superb ball from Davies gives Everton a very important late victory.
Everton took the lead through a sweet move started by Davies, Lukaku powering home, Mirallas doubling the lead just after the break, victory assured in superb style by Davies, finished off by debutant Lookman.
Sub Deulofeu set it on a plate for Lukaku but that only inspired a shocking brace from Foxes sub Ahmed Musa, ends Everton's FA Cup campaign before it had started.
Ronald Koeman named a youthful line-up but Calvert-Lewin had to go off early and the Blues struggled until Valencia replaced Lennon and scored off a rebound. Followed by a perfect Baines penalty and a classic Lukaku rocket.
The Blues had to come back twice with Barkley grabbing tieing the game to gain a point against a lowly Hull City at the KCOM stadium tonight
Everton took the lead after the break, a punt from Robles converted by Mirallas, and Lukaku finished it off brilliantly in stoppage time.
Ronald Koeman makes one changes to the side that started against Arsenal, bringing Ramiro Funes Mori in to replace the suspended Phil Jagielka.
A very nervy start, a silly free-kick given away, and Everton were punished by Sanchez. Coleman equalized off a Baines cross before half-time. The a late header from Williams off a Barkley corner sealed a fine win.
Lukaku puts Everton ahead with a neat opening goal but a brilliant Okaka finish beats Stekelenburg, followed by two quick goals off set pieces.
Reckless Stekelenburg abandoned his goalline allowing Ibrahimovic to lob in a bizarre opening goal. Baines Equalized from the spot in the final minute.
Everton were blown away from the kick-off with Southampton swarming at them, stealing the ball twice and scoring inside the first minute.
Jagielka gives away yet another penalty and this time Stekelenburg cannot save him. Coleman equalizes very late on.
Ronald Koeman's side were left badly burnt as Chelsea lit up Stamford Bridge like a bonfire with a scalding display of consummate football.
Excellent work by Bolasie gave Lukaku his usual goal against the Hammers. Barkley made it two off Lukaku's pinpoint cross.
Burnley went ahead off a soft goal after it looked like Everton were taking control of the game. Bolasie stole the ball off Lukaku to equalize with a great shot but the visitors could not get the second, yet Burnley did in the final minute.
Honours even after immense City pressure, Everton took the lead despite two penalties, brilliantly saved by Stekelenburg, but Nolito stole a point for the home side.
Barkley starts but Everton were too relaxed at the back and allowed Stanislas to fire in what would be the winning goal.
A controversial goal for Negredo, heading the ball out of Stekelenburg's hands, but Gareth Barry equalizes!!! More goals from Coleman & Lukaku before the break.
After a fine first half ended goalless, Everton went ahead off a fortuitous penalty that was converted via the post and Given's head.
Everton were stunned by an early goal for West Brom off a corner, but came back superbly to win a very tough battle with goals from Mirallas and Barry.
Barkley ggot Everton off to a great start with a goal in the first 5 minutes but Spurs came back strongly as the Blues tired.