Manchester United climbed to third place in their quest for a berth in next season's Champions League.
After a dreadful start to the season, Mikel Arteta's Arsenal are now up to 10th place in the Premier League and they never looked in danger against a Newcastle side that looks demoralised.
A round-up of Sunday's action in the Premier League.
Arsenal's third successive league win lifted them above West Ham United into fifth place with 45 points, one behind Manchester United but having played two fewer games.
New Everton boss Sean Dyche's reign began with a shock 1-0 victory over English Premier League leaders Arsenal.
Barcelona bounced back from their painful Clasico loss in style as they cruised to a 3-0 home LaLiga win over Villarreal with a brace from Robert Lewandowski on Thursday.
A summary of Saturday's action in the English Premier League.
Aston Villa returned to winning ways in stunning fashion as Ollie Watkins scored twice in a 3-0 away thumping of an abject Arsenal in drizzly north London on Sunday.
Arsenal manager Mikel Arteta continues rebuilding the side around goal machine Pierre-Emerick Aubameyang and younger talents like Bukayo Saka.
Sergi Canos and Christian Norgaard scored midway through each half to spark wild celebrations by the home fans who have waited so long to take their place in their new 17,500-capacity home and even longer to watch top-flight football.
IMAGES from the EPL matches played on Wednesday.
Images from the Premier League matches played on Saturday.
Images from the English Premier League matches played on Sunday.
Roundup of the Champions League matches played on Wednesday night
A summary of Saturday's action in the Premier League.
Arsenal teenager Bukayo Saka scored his first goal for the club as they beat 10-man Eintracht Frankfurt 3-0, while Manchester United's 17-year-old Mason Greenwood secured a 1-0 win over FC Astana as the Europa League group stage began on Thursday.
IMAGES from EPL matches played on Saturday.
Liverpool climbed to the top of the Premier League table with a 2-1 victory over struggling Wolverhampton Wanderers on Saturday.
Arsenal's defence of the trophy ended with something of a whimper as Mikel Arteta's side struggled with repeatedly sloppy defending.
Images from the English Premier League matches played on Sunday.
IMAGES from the English Premier League matches played on Saturday.
IMAGES from the EPL matches played on Saturday
On a crazy evening it looked as though Joe Willock's screamer had earned Arsenal a memorable victory, but Liverpool proved irrepressible as their barnstorming season continued.
Bruno Fernandes and Edinson Cavani scored twice each as Manchester United took a giant step towards the Europa League final with a 6-2 drubbing of AS Roma in their semi-final first leg at Old Trafford on Thursday.
The result leaves Ole Gunnar Solskjaer's United in 10th with nine points, their worst start after seven games for 30 years, and they have won just one of their last six league games.
Liverpool frustrated by 10-man Arsenal in League Cup semi stalemate
IMAGES from the Premier League matches played on Saturday
The patched-up backline will come up against an erratic Serbia with an experienced attack led by Aleksandar Mitrovic, who notched 28 goals in 28 matches in the Saudi Pro League and is a major threat in the air.
Third-placed Aston Villa are the surprise package of the season and Unai Emery's side face relegation-threatened Burnley while fifth-placed Spurs host a resurgent Bournemouth who have 19 points from their last seven games.
Southgate had some concerning post-game comments, pointing to the players' conditioning after long and gruellingly seasons.
Arsenal beat Liverpool 5-4 on penalties on Saturday to lift the FA Community Shield, the curtain-raiser for the English domestic season, after the two sides played out a 1-1 draw on a chilly afternoon at Wembley.
Arsenal slumped to a last-gasp 2-1 Premier League defeat at relegation-threatened Brighton & Hove Albion on Saturday in a blow to the London club's chances of securing European football next season. Watford's Craig Dawson grabbed a stoppage-time equaliser with an overhead kick to earn his side a 1-1 draw with Leicester City on Saturday and a vital point in their battle for Premier League survival.
A round-up of the action in the English Premier League on Monday.
Arsenal ended their seven match winless run in the Premier League with a surprise 3-1 London derby victory over Chelsea at the Emirates Stadium on Saturday while Manchester United were held to a 2-2 draw at Leicester City.
IMAGES from soccer matches played in the EPL, La Liga and Serie A on Tuesday.
The Gunners' only league defeat of the campaign was in September away to one of England's traditional top-six clubs, Manchester United, drawing criticism that their strong start to the season was based on wins against lesser opposition.
Images from the English Premier League matches played on Saturday.
Inter Milan midfielder Christian Eriksen scored his first goal for the club since last month's move from Tottenham Hotspur to set up a 2-0 win at Ludogorets Razgrad in their Europa League last 32, first leg on Thursday. Getafe pulled off a surprise 2-0 home win over last year's Champions League semi-finalists Ajax Amsterdam, while Manchester United were held 1-1 at Club Brugge in wet and windy conditions. Wolverhampton Wanderers' Diogo Jota scored a second successive hat-trick in the competition to lead his side to a 4-0 victory over Espanyol and Arsenal won 1-0 at Olympiakos Piraeus with a late Alexandre Lacazette goal.
IMAGES from the English Premier League matches played on Saturday.
Images from Sunday's action in the Premier League.