Chelsea go in at half time level with Everton, but may wonder how they haven't taken the lead during a dominant opening period at Stamford Bridge.
The Londoners, who are looking to extend their seven-point lead over second-placed Manchester City, made a bright start as Nemanja Matic rode several challenges, but his eventual shot failed to trouble recalled keeper Tim Howard.
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Everton could have edged in front themselves when ex-Chelsea forward Romelu Lukaku latched on to Ross Barkley's pass before the Belgian forward was denied by Petr Cech.
Chelsea looked to take control as new signing Juan Cuadrado crossed for Loic Remy, whose shot was only inches wide of the post.
Remy was again threatening the Toffees' goal as his header brought a fingertip save from Howard.
Midway through the half, Branislav Ivanovic missed a golden opportunity to put the league leaders ahead, as the Serbian somehow managed to head over from close range.
The home side's dominance continued as Eden Hazard fired a shot that Howard initially spilled, before the American hooked the ball into his grasp before Remy could pounce.
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