Charlie Adam remains in awe of Luis Suarez, who put past indiscretions behind him to forge a devastating partnership with Lionel Messi.
Willian and Ross Barkley were on target as Chelsea consigned Liverpool to a third defeat in their past four matches.
After West Brom won on Tuesday, second-placed Leeds United moved back within four points of the Championship pacesetters.
The Championship's top two - Leeds United and West Brom - won again on Saturday to strengthen their grip on the automatic promotion places.
Leeds United's hopes of a return to the Premier League looked to be fading, but victory over Bristol City restored optimism at Elland Road.
Fulham were held, West Brom came from behind to win and Luton Town earned a huge three points in Wednesday's Championship games.
Wayne Rooney's Derby County halted Stoke City's four-game unbeaten run in the Championship with another home win.
Leeds sit at the top of the table after a hectic night in the Championship, which saw Wayne Rooney score his first goal for Derby.
Lee Bowyer celebrated his new contract at Charlton Athletic by holding Fulham to a goalless draw, while Reading drew at Nottingham Forest.
The top two in the Championship remain unchanged after their draw, while Brentford are third and Stoke City thumped Huddersfield Town.