New Tottenham manager Antonio Conte declared himself happy with their goalless draw at Everton despite a frustrating afternoon at Goodison Park.
Jurgen Klopp felt Liverpool were on the wrong end of two key decisions as they slipped to a 3-2 defeat at West Ham and missed out on a slice of history.
Manchester City triumphed in the derby at United, Chelsea and Liverpool both dropped points and two managers lost their jobs.
Roma’s poor form under Jose Mourinho continued as they were beaten 3-2 at Venezia on Sunday.
Jurgen Klopp was furious with the officials after West Ham punished three mistakes from Liverpool goalkeeper Alisson Becker and ended the Reds' 25-match unbeaten run with a 3-2 victory on Sunday.
Antonio Conte has promised to give Dele Alli the chance to resurrect his Tottenham Hotspur career.
Thomas Tuchel admitted Chelsea had only themselves to blame as the Premier League leaders were held to a surprise 1-1 draw by struggling Burnley on Saturday.
Pep Guardiola praised his team for silencing Old Trafford after his Manchester City side eased to a comfortable 2-0 derby win over Manchester United.
Manchester United manager Ole Gunnar Solskjaer said he does not feel as though he is on borrowed time despite a chastening 2-0 defeat by Manchester City on Saturday.
Matej Vydra pounced to stun sloppy Chelsea and scramble Burnley a 1-1 Premier League draw at Stamford Bridge.