Reigning champions Manchester City took the lead after 24 seconds but suffered a shock 2-1 defeat at Newcastle United.
Mohamed Salah struck four times in rampant Liverpool's 5-0 thrashing of Watford that lifted them back into third spot in the Premier League on Saturday.
News of all that's transpired on and off the football field
A summary of Saturday's matches in the English Premier League.
A Sergio Aguero hat-trick helped Manchester City get back to winning ways in the Premier League with a 3-1 victory over Newcastle United, as they stayed 12 points ahead of Manchester United who had to dig deep to secure a 1-0 win at Burnley.
Manchester City set a new top-flight record of 15 consecutive wins as their seemingly unstoppable march towards the English Premier League title continued with a 4-0 romp at bottom club Swansea City.
IMAGES from the EPL matches played on Saturday
Images from the English Premier League matches played on Saturday
Watford climbed into the top four of the Premier League after Tom Cleverley's 92nd-minute goal gave them a 2-1 victory over Arsenal at Vicarage Road on Saturday.
Sam Allardyce has been named England manager on a two-year contract, the Football Association said in a statement on Friday.
Images from the English Premier League matches played on Saturday
It is too early to say who has got the best of the most frenetic transfer market.
Images from the English Premier League matches played on Saturday.
Manchester City suffered their first home Premier League loss in eight months as a shock 3-2 defeat by Crystal Palace on Saturday left Pep Guardiola's champions trailing leaders Liverpool by four points.
Barcelona closed in on the La Liga title after beating 10-man Atletico Madrid 2-0 in Saturday's top-of-the-table showdown at the Nou Camp as late strikes by Luis Suarez and Lionel Messi gave the Catalans an 11-point lead at the top of the table.
Manchester City thrashed Southampton 6-1 to remain top of the Premier League.
Here are five talking points from the weekend's Premier League action:
There was little fanfare but a few lessons perhaps learnt as the most expensive player in the history of English football - Angel di Maria - lasted 70 minutes on his Premier League debut for Manchester United in their goalless draw at Burnley on Saturday.
Sanchez, 28, is currently in the final year of his contract. He has been linked with a move to Paris St Germain in the current transfer window.
Tottenham Hotspur striker Harry Kane was named player of the month after scoring six goals in four league games.
On a day of frenetic spending that took the Premier League total to a record far above one billion pounds ($1.29 billion), Antonio Conte's side also missed out on two of their other targets - Alex Oxlade-Chamberlain and Fernando Llorente.
Images from the EPL matches played on Saturday
Manchester City forward Raheem Sterling struck twice as the Premier League champions beat Crystal Palace 3-1 at Selhurst Park on Sunday to go top of the table and heap pressure on title rivals Liverpool.
IMAGES from the English Premier League matches played on Tuesday
Images from the English Premier League matches played on Tuesday
IMAGES from the English Premier League matches played on Saturday
Cardiff had lost six of their previous seven games but, knowing that anything but a victory would probably end their survival hopes after one season in the top flight, overcame a strong Brighton start to play with growing confidence and fully deserved their victory.
Son fires Spurs to 2-0 win over Huddersfield
News of all that's transpired on and off the football field
Swedish striker Zlatan Ibrahimovic returned to Manchester United on a year-year contract "to finish what I started," the 35-year-old announced in a club statement on Thursday.
News of all that's transpired on and off the football field
Although Spurs always looked more comfortable on the ball it was Sean Dyche's side, who have just a point from their opening five games, who had come the closest.
Bernardo Silva has made an encouraging start to the Premier League campaign and the Manchester City midfielder said that feeling more settled at his second season with the champions was a key factor in his performances.
News of all that's transpired on and off the football field
Holders Manchester City began their assault on the FA Cup with a 4-1 victory over fourth-tier Port Vale but Manchester United and Wolverhampton Wanderers face an unwanted replay after drawing 0-0 at Molineux on Saturday. Goals from Oleksandr Zinchenko, Sergio Aguero, Taylor Harwood-Bellis and Phil Foden made it a routine day for City, although Tom Pope had equalised for a Vale side sitting 74 places lower in the standings.
Knee injuries have sidelined him for large parts of this season, however, and the Belgium international has started only four Premier League games.
Raheem Sterling struck twice as the Premier League champions Manchester City beat Crystal Palace 3-1 at Selhurst Park on Sunday to stay within two points of leaders Liverpool.
IMAGES from the English Premier League matches played on Wednesday
News of all that's transpired on and off the football field
News of all that's transpired on and off the football field.