Sam Allardyce is back in management after being appointed by Everton
Everton won in Sam Allardyce's first match in charge, beating Huddersfield 2-0 thanks to Gylfi Sigurdsson and Dominic Calvert-Lewin goals.
The former England manager replaced caretaker boss David Unsworth this week after signing an 18-month contract. The Toffees, having been in the relegation zone last weekend, are now in the top half after two wins in a row.
Roberto Firmino scored twice as Liverpool beat Brighton 5-1 to climb to fourth in the table - until Arsenal's 17:30 GMT game against Manchester United at least.
Tottenham had defender Davinson Sanchez sent off as they were held to a 1-1 draw by Watford.
Report: Brighton 1-5 Liverpool Report: Everton 2-0 HuddersfieldReport: Watford 1-1 Tottenham Hotspur
West Brom drew 0-0 with Crystal Palace in Alan Pardew's first game as Baggies manager.
Eden Hazard scored twice in an impressive performance as Chelsea came from behind to beat Newcastle 3-1.
Swansea dropped to the bottom of the Premier League table after losing 2-1 to fellow strugglers Stoke. Leicester beat in-form Burnley 1-0, thanks to Demarai Gray's early goal.
Report: Chelsea 3-1 NewcastleReport: Leicester 1-0 BurnleyReport: Stoke 2-1 SwanseaReport: West Brom 0-0 Crystal Palace
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Highlights: Notts County 3-2 Oxford City
In the FA Cup, non-league side Hereford are in the hat for the FA Cup third round, after drawing 1-1 at Fleetwood.
Oxford City suffered late heartbreak as Jorge Grant's goal five minutes into stoppage time gave Notts County a 3-2 win. And Maidstone lost 4-1 to MK Dons, having taken the lead.
Scottish Premiership champions Celtic extended their domestic unbeaten run to 67 games thanks to a 5-1 win over Motherwell, with Odsonne Edouard scoring a hat-trick.
Kick-off in Hearts' game against Hamilton was delayed by 15 minutes after Tynecastle had to be evacuated at 14:00 GMT because of a faulty fire alarm being set off.
Sunderland's woes continued as they lost 3-1 to Reading in Chris Coleman's first home game in charge. The Black Cats have not won a home game in 2017 - a run of 21 games. To make matters worse, Callum McManaman was shown a second yellow card for handling the ball into the net.
Elsewhere in the Championship, Ipswich beat Nottingham Forest 4-2,Sheffield United lost 3-1 at Millwall and Michael Dawson scored an injury-time equaliser as Hull battled back to draw 2-2 with Sheffield Wednesday.
In Northern Ireland's Premiership, second-placed Crusaders beat Glentoran 1-0. Watch the day's goals here.
Barcelona remain unbeaten at the top of La Liga after being held to an entertaining 2-2 draw by Celta Vigo.
Bayern Munich are six points clear at the top in Germany after beating Hannover 3-1, with second-placed RB Leipzig being thrashed 4-0 at Hoffenheim.
And the biggest scoring game of the day was in Scotland's Highland League, where Brora Rangers beat Fort William 16-0. Steven Mackay scored five of the goals.
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Source: bbc.com