Chelsea edged towards Champions League football for next season, but Leicester City's fate is now out of their hands.
The Blues gained swift vengeance for their FA Cup final defeat, running out 2-1 winners over Leicester at Stamford Bridge, meaning the Foxes are now reliant on results elsewhere as Liverpool have a game in hand to play.
Champions Manchester City surrendered a two-goal lead against Brighton and Hove Albion, meanwhile, and Edinson Cavani's stunning goal was not enough for Manchester United. Elsewhere, Leeds United defeated Southampton.
We take a look at the best facts, courtesy of Opta, from across Tuesday's Premier League games.
3 - Tonight saw Man City, Man Utd and Leicester all fail to win - the first day in the Premier League to see each of the sides starting the day in the top three all play but not win since 31st January 2017 (Chelsea, Arsenal, Spurs). Oddity.— OptaJoe (@OptaJoe) May 18, 2021
Manchester United 1-1 Fulham: Cavani delights Old Trafford crowd, but Cottagers hit back
United have now dropped 10 points from winning positions at Old Trafford this season – their highest ever such total at home in a Premier League season – after Joe Bryan cancelled out Cavani's sensational opener.
Cavani became only the third United player over the age of 33 to reach 10 goals in a single Premier League season, after Teddy Sheringham in 2000-01 and Zlatan Ibrahimovic in 2016-17, with a sublime 36.4-yard effort in the first half.
The Uruguay forward is the 25th different United player to reach double figures in a Premier League campaign, but it was not enough for the Red Devils as relegated Fulham gained a point from a losing position at Old Trafford for only the second time in their history in the competition, previously doing so in February 2014.
United have conceded 28 home goals in the Premier League this season – they last conceded more at Old Trafford in a single league campaign back in 1962-63 (38) – with Bryan's first top-flight goal, in his 43rd such appearance, snatching a share of the spoils.
Fans at Old Trafford have waited for Edi.— Manchester United (@ManUtd) May 18, 2021
Edi has waited for fans at Old Trafford.
What a moment pic.twitter.com/57DROSf4D2
Southampton 0-2 Leeds United: Bielsa's charge continues
There could feasibly still be a European place for Marcelo Bielsa's Leeds, who are just three points behind seventh-placed West Ham heading into the final game of the season after a 2-0 win over Southampton.
It was Leeds' 10th league win on the road this season, their best effort in a top-flight campaign since 1973-74, when they won 12 on the way to winning the title.
Southampton are without a clean sheet in their past 10 home league games (15 goals conceded) after keeping shutouts in six of the eight before that.
Patrick Bamford netted his 16th goal of the season, which is the most by a player from a promoted side since Charlie Austin scored 18 for Queens Park Rangers in 2014-15, with Tyler Roberts' maiden Premier League goal rounding off the success.
Leeds are only the second team in Premier League history to finish a campaign without a single away draw (W10 L9), after Tottenham in 2018-19.
6 - Manchester City have lost a Premier League game in which they were 2+ goals ahead for a sixth time; only Tottenham (eight) have done so more on more different occasions in the competition. Drama. pic.twitter.com/WLmuV1kyWF— OptaJoe (@OptaJoe) May 18, 2021
Brighton and Hove Albion 3-2 Manchester City: Seagulls seal famous comeback
Brighton picked up their first ever Premier League victory over City, and their first in the league since 1989, as they came from two goals down to win 3-2 at the Amex Stadium.
Graham Potter's side fell behind to Ilkay Gundogan's early goal – the 10th City have scored in the opening two minutes under Pep Guardiola in the Premier League – but were buoyed by Joao Cancelo's red card.
Timed at 09:03, Cancelo's dismissal was City's second-earliest from the start of a Premier League game, after Dedryck Boyata was sent off after 04:28 against Arsenal in October 2010.
This was just the second time in Premier League history a team starting the day top of the table has led by two goals and lost, after City themselves did so against Man Utd in April 2018.
Their possession figure in this match was just 37 per cent – the lowest recorded by a side managed by Guardiola in a single top-flight match.
Phil Foden has scored 15 goals in all competitions this season. Among players in the top five European leagues currently aged under 21, only Erling Haaland (39) has scored more, but his stunning effort was not enough.
Leandro Trossard and Adam Webster pegged City back, before Dan Burn's first Brighton goal, and his first in the league for any team since April 2018, completed the turnaround.
85% - Of Jorginho's 13 Premier League goals, 11 have been penalties (85%), the highest such ratio by any player with 10+ goals in the competition's history. Reliable.— OptaJoe (@OptaJoe) May 18, 2021
Chelsea 2-1 Leicester City: Tuchel's team clinch Champions League qualification
After their FA Cup disappointment, Chelsea took a step towards Champions League football, getting revenge in the process.
Jorginho's penalty sealed the win, with Kelechi Iheanacho's goal ultimately proving a consolation, though the Leicester striker is the first player in Premier League history to score a goal on all seven weekdays within a single season.
No player has scored more Premier League goals in a single campaign with 100 per cent of them coming from the penalty spot than Jorginho's seven this season (level with James Milner in 2016-17).
Leicester have won just two of their past 30 away league games against Chelsea (D11 L17), winning 1-0 in December 2018 and 2-0 in September 2000.
And the win for Thomas Tuchel's men means that City, United and Leicester, the top three teams starting the day, all failed to win. It is the first time it has happened since January 2017 (Arsenal, Tottenham, Chelsea).