Chelsea maintained their blistering start to the season with a 3-0 victory over Burnley, while Liverpool came from behind to beat 10-man Bolton 3-2 on Saturday.
Nicolas Anelka broke Burnley's stubborn resistance at Stamford Bridge when he slid in to convert Didier Drogba's cross just before half-time.
Michael Ballack added Chelsea's second goal soon after the break when he headed in Frank Lampard's cross and Ashley Cole smashed in the third five minutes later to give Carlo Ancelotti's league leaders their fourth successive victory under their new Italian manager.
At Bolton, Liverpool showed they have the stomach to fight for the title. They fell behind in the 33rd minute when Johan Elmander nodded a corner back across goal to Kevin Davies and the targetman punished poor marking to score. Glen Johnson equalised with a powerful strike from the edge of the penalty area after Bolton only half-cleared a Steven Gerrard corner in the 41st minute.
Tamir Cohen restored Bolton's lead two minutes into the second half as the Israeli midfielder met Davies's flick with a powerful finish.
But Liverpool were handed a lifeline when Sean Davis was harshly shown a second yellow card for a foul on Lucas.
The visitors took full advantage in the 56th minute as Dirk Kuyt found Fernando Torres and the Spain striker finished smartly.
Liverpool piled on the pressure and Gerrard, criticised in the week by Benitez for his poor form, hit the winner with a perfectly-struck shot in the 83rd minute to get the Reds back on track.