While Manchester City were pipping Liverpool to the title on the final day of the EPL season, Chelsea wrapped up their campaign to secure third place with an uninspired goalless draw at Leicester.
But Blues boss Maurizio Sarri admitted afterwards he is still in the dark over the club's star player Eden Hazard's future.
Belgian forward Hazard, who is yet to commit his future to Stamford Bridge, came off the bench in Sunday's 0-0 stalemate, which saw the home side finish ninth.
Real Madrid continued to be heavily linked with the 28-year-old and Sarri conceded he did not know if Hazard will stay.
He said: "I hope of course, like every fan of Chelsea, that he will remain with us. But at the moment I don't know.
"He did very well, he has become one of the best two or three players in the world, but I think also that we have to respect him and his decision."
Champions League finalists Tottenham booked their place in next season's competition, clinching fourth spot with a 2-2 draw at home to Everton.
Spurs were practically guaranteed a top-four spot as they led Arsenal by three points and an eight-goal superior goal difference heading into the final game and a draw was enough to ensure they finished ahead of their north London rivals for the third year in a row.
Eric Dier's early goal was cancelled out as Theo Walcott and Cenk Tosun put Everton ahead 2-1 before Christian Eriksen's fine free-kick saw Spurs avoid defeat.
Spurs have been battling against the odds from the start of the season, as they have come up against a crippling injury list, went through two transfer windows without making any signings and did not get into their own stadium until April.
"Four top-four finishes, four Champions League qualifications and the cherry on the cake will be the Champions League final," coach Mauricio Pochettino said.
"This group of players deserve so much credit. They have put so much unbelievable effort in. There have been many positives this season."
It meant Arsenal finished outside the top four again, despite Pierre-Emerick Aubameyang scoring twice in his side's 3-1 win at Burnley.
But at least Aubameyang shared the Golden Boot as top goalscorer with Liverpool duo Mohamed Salah and Sadio Mane on 22 goals.
Manchester United ended their dismal campaign with a 2-0 home defeat by relegated Cardiff City after Nathaniel Mendez-Laing struck in each half to give the Welsh side a fine farewell from the top flight.
Sixth-placed United produced another dreadful performance which stretched their poor run to just one win from their last seven top-flight.
Michy Batshuayi scored twice as Crystal Palace beat Bournemouth 5-3, while West Ham finished 10th after a 4-1 win at FA Cup finalists Watford, with Mark Noble scoring twice.
Newcastle signed off with a 4-0 win at relegated Fulham while Southampton drew 1-1 with Socceroo Aaron Mooy's bottom side Huddersfield in the day's other match.
Australian Associated Press