Sean Dyche's Burnley side looked to have secured a crucial point in their fight to move clear of the bottom three but Eriksen broke their hearts with a clinical finish for third-placed Spurs in the 91st minute.
Talks have been continuing between the FA, Premier League and Football League regarding the proposal as they look at the possibility of bringing their fixture schedule more in line with the top leagues in Germany, France, Italy and Spain.
Images from the English Premier League matches played on Sunday
IMAGES from the English Premier League matches played on Saturday.
Ivorian Drogba, who had been playing in the United States for Phoenix Rising, had two spells at Chelsea, scoring 164 goals in 381 games having spearheaded the west London club's revival under owner Roman Abramovich.
Eriksen punctured Brighton's armour from Tottenham's 29th goal attempt -- 21 of which were from outside the penalty area.
Arsenal can sustain a Europa League challenge but a top-four finish in the Premier League would be the best way to reach next season's Champions League, manager Arsene Wenger has said.
The victory puts the pressure back on title rivals Liverpool who are at Cardiff City on Sunday and trail by a point with each side having played 34 games.
City are two points behind leaders Liverpool, but have a game in hand
FA rules prohibit players and coaches from betting on any football activity or providing non-public information to any other person that is then used for betting.
Premier League leaders Manchester City turned on the style with a 3-1 win over Manchester United in their derby clash, on Sunday, leaving Pep Guardiola's unbeaten side two points clear of Liverpool.
Manchester City forward Raheem Sterling struck twice as the Premier League champions beat Crystal Palace 3-1 at Selhurst Park on Sunday to go top of the table and heap pressure on title rivals Liverpool.
Rewind five years and Liverpool hosted Chelsea with three games remaining, knowing victory would have left them six points clear and a first league title since 1990 almost secure.
Arsenal, who fired Unai Emery as manager last week and appointed former player Freddie Ljungberg as caretaker boss, now sit 10th in the table on 19 points, with Brighton a single point behind and three places below them.
Manchester United made it three wins out three as substitutes Marcus Rashford and Marouane Fellaini gave them a 2-0 victory over Leicester City at Old Trafford on Saturday to send them clear at the top of the Premier League.
Manchester United substitute Marcus Rashford scored in stoppage time as they came from behind to beat Bournemouth 2-1 away and close the gap on the top four in an exciting Premier League clash.
Swedish striker Zlatan Ibrahimovic returned to Manchester United on a year-year contract "to finish what I started," the 35-year-old announced in a club statement on Thursday.
Everton's Theo Walcott struck just after halftime to secure a 1-0 home win over Newcastle United, on Monday, that took the Merseysiders up to eighth in the Premier League, their highest position this season.
Images from the English Premier League matches played on Sunday
Premier League champions Leicester City beat Everton 3-1 at the King Power Stadium on Saturday as a Jamie Vardy double completed a perfect coronation for Claudio Ranieri's miracle men.
Liverpool face Spurs in the game of the weekend, a day after title rivals Manchester City travel to struggling Fulham.
A preview of the line-up action in the English Premier League
Liverpool had been the better side for great swathes of the Premier League encounter at Stamford Bridge, but a combination of poor finishing and resilient Chelsea defending meant they entered the dying minutes trailing 1-0 to Eden Hazard's superb finish.
A preview of the line-up action in the English Premier League
If City win their next league game at Everton on March 31 that will set up a Manchester derby at City's Etihad Stadium where a win over their arch-rivals would secure the title.
Jose Mourinho has accused Manchester United's Premier League rivals of playing a "defensive game" ahead of the coming campaign but is making no secret of his side's own title aspirations.
Harry Kane became Tottenham's joint fifth highest scorer as he helped his side earn a 2-1 Premier League victory over Brighton & Hove Albion on Saturday.
Klopp fined by FA for referee comments after West Ham draw
Knee injuries have sidelined him for large parts of this season, however, and the Belgium international has started only four Premier League games.
As Manchester City fans left Goodison Park after a 2-0 victory over Everton on Wednesday that sent their team back to the top of the Premier League, they aimed their chants across adjacent Stanley Park to title rivals Liverpool.
IMAGES from the English Premier League match played between Everton and Manchester City on Wednesday
Brighton kept a disciplined formation, frustrating Liverpool and as the second half wore on the home side began to lose their fluency.
Wigan Athletic have fired manager Malky Mackay following their 2-0 home defeat by Derby County on Monday, the English Championship club said.
Aaron Ramsey scored a hat-trick on Saturday as Arsenal thrashed Everton 5-1 in the Premier League at the Emirates with a display of free-flowing football that the Gunners have sorely lacked away from home this season.
Chelsea's new signing Gonzalo Higuain netted his first two Premier League goals in Chelsea's 5-0 thrashing of Huddersfield Town while Tottenham Hotspur's Son Heung-min struck late for a 1-0 win over Newcastle United as they moved into second place.
Manchester City begin a crucial week in the Premier League title race when they host Arsenal at the Etihad on Sunday.
'I can't comment on speculation. I don't bet and I don't do the lottery - it's not my way'
Chelsea's 3-0 win over Middlesbrough on Monday moved them seven points clear at the top with three games left and a win at West Brom will make them champions.
'Bindra calls to suspend training camps after Games postponement'
Chelsea manager Maurizio Sarri made a winning start to life in the Premier League as his team enjoyed a 3-0 win over Huddersfield Town at the John Smith's Stadium on Saturday.