Southampton took the lead at St Mary's in the 18th minute after Dusan Tadic finished off a fine team move but, just before the break, Everton levelled with a bolt from the blue as Iceland's Gylfi Sigurdsson thundered a strike from distance in off the crossbar, his first league goal for the club.
Southampton's rich vein of form in the Premier League continued as they beat Burnley 3-1 with two goals from Charlie Austin on Sunday while another promoted side, Middlesbrough, fared just as poorly, losing 1-0 at home to Watford.
Take a look at the top scorers of the English premier league!
Queens Park Rangers have been charged by the English FA for failing to control their players during their Premier League game at home to Manchester City last Saturday.
Tottenham Hotspur's Harry Kane pounced on a piece of comical defending to secure a 1-0 win over Sunderland in the Premier League on Sunday although he was later wheeled away on a stretcher after suffering an ankle injury.
David Silva scored a late goal as runaway leaders Manchester City won their 13th successive Premier League game and restored their eight-point lead with a 2-1 victory against West Ham United on Sunday.
Manchester United stayed in fifth place, one point above West Ham, but it was another depressingly dull day at Old Trafford where United were booed off after losing 1-0 to Southampton.
A flash of attacking brilliance from Olivier Giroud and an emphatic header from substitute Alvaro Morata earned Chelsea a 2-0 win over struggling Southampton
Leicester City continued to do their best Houdini impression on Saturday as they escaped the Premier League drop zone for the first time since November while Manchester City went up to second spot with a thrilling win.
Manchester City returned to the top of the Premier League on goal difference after coming from behind to draw 1-1 with Southampton at the Etihad Stadium on Sunday.
West Ham had lost their first three Premier League games to sit bottom of the table and their dismal start to the campaign had already sparked speculation among pundits as to whether new manager Manuel Pellegrini would see out the season.
League leaders Chelsea were made to battle for a narrow 2-1 win over strugglers Queens Park Rangers at Stamford Bridge as they maintained their unbeaten start in the Premier League on Saturday.
Loyalty and football are two words that do not often go together, but after watching his side climb off the bottom of the Premier League table with victory over Aston Villa, Queens Park Rangers owner Tony Fernandes is standing by manager Harry Redknapp.
Christian Benteke's superb hat-trick rescued a potentially priceless Premier League point for Aston Villa.
Olivier Giroud's rush of blood almost ruined Arsene Wenger's Christmas on Friday as the France forward's red card left Arsenal sweating towards the end of their 2-1 defeat of Queens Park Rangers.
Brazil international Sandro was picked out for special praise by manager Harry Redknapp after Queens Park Rangers leapfrogged Burnley at the foot of the Premier League table on Monday.
A late goal by substitute Charlie Austin gave relegation-threatened Southampton a thrilling 3-2 victory over Arsenal on Sunday in new Austrian manager Ralph Hasenhuettl's first home game.
Burnley's 0-0 draw at home to Tottenham Hotspur in the Premier League on Sunday completed a profitable weekend for the three clubs bidding to avoid a swift return to the second tier of English football.
Harry Kane struck twice as Tottenham Hotspur beat Queens Park Rangers 2-1 on Saturday to boost their hopes of a top-four finish and leave their London rivals facing an uphill battle to avoid relegation.
Manuel Pellegrini shrugged that he was "not worried about Chelsea" despite seeing his Manchester City team fall further behind the Premier League leaders at the end of a dispiriting week for both the Chilean and his champions.
Romelu Lukaku's 50th league goal for Everton put them on the way to a deserved 2-0 victory over West Ham United on Sunday, ending a run of four league games without a win. It kept the Merseysiders sixth in the Premier League and West Ham in the bottom five.
Liverpool substitute Adam Lallana struck deep into stoppage time to snatch a 5-4 win over shell-shocked Norwich City in an extraordinary Premier League game at Carrow Road on Saturday.
Images from the EPL matches played on Sunday
Manchester United were denied by a spirited Stoke City performance as Joe Allen pounced late to secure the visitors their first point at Old Trafford since 1989 in a deserved 1-1 Premier League draw.
West Ham United's Mark Noble admitted with rare post-match candour that they were fortunate to escape with a 3-0 defeat by Southampton at the London Stadium on Sunday - their fourth successive reverse in the Premier League.
Premier League leaders Manchester City won their derby with United 3-1, while Liverpool kept pace with a home win over Fulham.
Chelsea kept up their pursuit of the Premier League's top three clubs with a 1-0 win away to London rivals Crystal Palace on Sunday, thanks to a strike by N'Golo Kante early in the second half.
Manchester United manager Jose Mourinho was sent off for the second time in a month on Sunday as the controversial coach watched his side draw 1-1 at home to West Ham United and lose more ground in the English Premier League title race.
Manchester City continued their imperious start to the season with a 2-1 win over Swansea City to reach the fourth round of the League Cup on Wednesday but it was a testing night for rivals United who eventually overcame Northampton Town 3-1.
Liverpool scored a stunning 3-2 win over Queens Park Rangers with four of the five goals coming in the last seven minutes capping an astonishing finale to their Premier League match at Loftus Road on Sunday.
David Silva came to the rescue of Manchester City with two goals in a 3-0 victory over Crystal Palace.
Manchester United consolidated their fourth place, on 22 points, after first-half goals from Chris Smalling and Wayne Rooney and a brilliant, morale-boosting strike from Robin van Persie after the break sealed a 3-0 victory over Hull City.
Liverpool took over at the top of the Premier League table despite being held to a 0-0 draw against Manchester United in a scrappy match on Sunday.
A quick look at the winners of the 95th Annual Academy Awards.
Queens Park Rangers bowed out of the Premier League with a whimper after Manchester City's Sergio Aguero scored a hat-trick to lead his side to a crushing 6-0 victory over the London club on Sunday.
Three time European champions Inter Milan were stunned 2-0 at home by Israeli side Hapoel Beer-Sheva and Manchester United were floored by a late goal from Feyenoord as the Europa League group stage got underway on Thursday.
Manchester City went 11 points clear with a record 14th consecutive Premier League win in an entertaining derby against Manchester United at Old Trafford.
Jose Mourinho's wretched week ended on a high note as Manchester United's big guns Zlatan Ibrahimovic and Paul Pogba finally began firing, both finding the target in a 3-1 win at dismal Swansea City on Sunday. Mourinho watched from the stands at the Liberty Stadium following his touchline ban imposed by the Football Association on Wednesday and was buoyed to see Ibrahimovic score twice -- his first league goals in eight weeks -- and Pogba net a superb volley. United, vastly improved after their midweek Europa League defeat at Fenerbahce, went ahead with a 15th minute strike from Pogba worthy of his 89 million pounds price tag before Ibrahimovic ended his goal drought with a sharp first-half double in the space of 12 minutes.
Summary of sports events and persons who made news on Thursday
Images from the English Premier League matches played on Saturday