The Arsenal manager was also warned to his future conduct following his touchline bust-up with former West Ham United manger Alan Pardew last month.
A stunning 87th-minute free kick by captain Steven Gerrard gave Liverpool a 2-1 victory at Aston Villa as the new Premier League season opened on Saturday.
Manchester United manager Alex Ferguson said he would wait for as long as it takes to sign Argentine forward Carlos Tevez.
Substitute Marlon Harewood struck two minutes from time to hand West Ham United a 1-0 win over Arsenal at Upton Park on Sunday.
IMAGES from the English Premier League matches played on Sunday
The 27-year-old Wales captain signed a five-year deal.
The Tottenham Hotspur striker was at the centre of controversy after admitting to biting the arm of Javier Mascherano on Sunday.
The 28-year-old France international collided with Tomkins in the 76th minute at the Emirates and appeared to be dazed by the clash, but was left on the pitch after being assessed by his team's medical staff.
Sheffield United finished the season in 18th place with a goal difference of -23, a single goal worse than Wigan, to join already relegated Charlton Athletic and Watford in the second division.
Charlton were relegated from the Premier League after losing 2-0 at home to Tottenham Hotspur.
Arsenal scored twice in the last six minutes to secure a 3-1 home victory over Fulham that left their London rivals deep in relegation danger.
Schar's goal for Newcastle United in the 1-1 draw with Watford should have been chalked off
The omens are good for a Chelsea side heading into Christmas top of the Premier League tree but manager Jose Mourinho does not want to give title rivals Manchester City any reason to cheer over the festive season. Check out the big games on Boxing Day.
Wenger announced on Friday that he would leave Arsenal at the end of the season, bringing an end to his near 22-year reign at the north London club.
Hooliganism is not a problem in English football, according to Arsenal manager Arsene Wenger, despite a week in which disturbances at West Ham United's League Cup tie against Chelsea tarnished the game's glossy image.
West Bromwich Albion forward Nicolas Anelka has denied an English FA charge regarding an alleged anti-Semitic gesture he made during last month's 3-3 Premier League draw at West Ham United, his club said on Thursday.
Australia's goalkeeper Mark Schwarzer fractured a cheekbone playing for Middlesbrough in the FA Cup semi-final against West Ham United.
Images from the English Premier League matches played on Saturday.
Manchester City moved 17 points clear of the pack with a 3-0 win at Fulham on Saturday
Manchester United beat West Ham United 1-0 to consolidate their second place in the EPL
English Premier League strugglers Charlton Athletic parted company with manager Les Reed on Sunday and appointed former West Ham United manager Alan Pardew in his place.
After 18 matches in the EPL, United lead with 44 points, Chelsea are second on 42 and Liverpool third on 31.
West Ham United sacked manager Alan Pardew on Monday after a poor run of results left the club third from bottom in the Premier League.
Tevez said he refused to wear a Brazil shirt in training, a joke punishment handed out by his team mates, and would like to stay at the club if possible.
IMAGES from the English Premier League matches played on Sunday.
High drama ensued during the English Premier League matches on Wednesday as Spurs manager Jose Mourinho was booked while Brighton stunned Chelsea via Alireza Jahanbakhsh's superb equaliser to deny the Blues victory. Here is all the EPL action in IMAGES from Wednesday's matches.
Chelsea are banking on a lavish shopping spree to give them more bite up front and much-needed solidity in defence after coach Frank Lampard spent last season relying heavily on a crop of inexperienced home-grown players.
Manchester United are three points clear of champions Chelsea in the Premier League.
Images from the English Premier League matches played on Sunday
The east London side suffered a humiliating 2-1 third-round League Cup defeat at the hands of third division Chesterfield to chalk up their eighth defeat in a row.
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.
IMAGES from the English Premier League matches played on Saturday.
Chelsea registered a stirring 3-1 win to take a 14-point lead over nearest rivals Manchester United.
Manchester City needed a second-half penalty from striker Erling Haaland to break the resistance of a dogged Crystal Palace.
Responding to an initiative already run by fans of both clubs, City and United will donate 50,000 pounds each to the Trussell Trust, a support network of more than 1,200 food banks.
West Ham United manager Alan Pardew said Argentina's World Cup pair would take his team to a new level.
Second-half goals from Wayne Rooney and John O'Shea gave them a 2-1 victory and second place in the EPL table.
Chelsea's 0-0 home draw with second-placed United ensured Thomas Tuchel is still undefeated in nine games since replacing Frank Lampard, but it meant they failed to dislodge fourth-placed West Ham United who became Manchester City's 20th successive victims in all competitions on Saturday.
