Everton scored first and last but couldn't put away struggling Crystal Palace at Goodison Park.
Despite goals from Robin van Persie, Angel di Maria and Ander Herrera the Reds lost 5-3 to Leicester City.
Yannick Bolasie scored Palace's third goal in a Man of the Match performance that saw the Eagles pick up an unexpected three points at Goodison Park.
Chelsea were given a man advantage after Manchester City defender was sent off in the second half and promptly scored, but a dramatic equalizer by former club legend Frank Lampard left the two sides even in a 1-1 draw.
A tight goalless affair between perhaps the two strongest clubs in the league was given a boost by each side's substitutes, with Frank Lampard's goal equalizing an earlier Chelsea strike, and the two powerhouses settled for a 1-1 draw.
Leonardo Ulloa scored a brace as Leicester City came from behind to stun Manchester United in a thrilling match.
Tottenham picked a bad day to put on a poor display, dropping all the points at home to a weak West Bromwich Albion side who managed to grab a goal in the latter stages and beat Spurs 0-1.
A header by James Morrison in the 74th minute was the lone goal of the day as the Baggies earn three needed points on the road, defeating a struggling Spurs side 0-1.
Schmeichel, De Laet, Morgan, Moore, Konchesky, Hammond, Cambiasso, Nugent, Drinkwater, Vardy, Ulloa
De Gea, Rafael, Evans, Blackett, Rojo, Blind, Herrera, Di Maria, Falcao, Rooney, van Persie
Italian international Emanuele Giaccherini made it three injuries in three days for Sunderland as the attacking midfielder was helped from the field of play at Turf Moor on Saturday.
Liverpool found themselves down by two goals and were forced to change tactics due to a key defensive injury early in their match with West Ham and they could not recover, losing their third match in four, 3-1.
West Ham stunned Liverpool by scoring twice inside the first seven minutes of the match and it would prove to be enough as they went on to win 3-1.
Vito Mannone and Tom Heaton stopped six shots apiece to help their side earn a clean sheet on Saturday.
Nikica Jelavic was wonderful in Hull City's 2-2 draw at Newcastle.