Pierre-Emerick Aubameyang scored twice as Arsenal beat Burnley at Turf Moor, but the Gunners failed to finish in the top four for the third successive season.
Unai Emery’s side secured fifth place meaning they go straight into the Europa League group stage next season.
And they can still qualify for the Champions League if they beat Chelsea in the Europa League final on 29 May in Baku.
Aubameyang, who scored a hat-trick on Thursday as Arsenal beat Valencia in the Europa League semi-finals, finished the season with 22 league goals.
That saw him tie for the Premier League Golden Boot with Liverpool duo Sadio Mane and Mohamed Salah.
Ben Mee gifted Aubameyang his first, miscontrolling a pass from Jack Cork to allow the Gabon striker to run in and slot past Tom Heaton on 52 minutes.
He then lashed in a volley from close range 11 minutes later and should have had a hat-trick, but with the goal at his mercy, he poked wide.
Burnley, who had already secured a fourth straight season in the Premier League, pulled one back as Ashley Barnes met Johann Berg Gudmundsson’s pass with a glancing header.
Arsenal’s 19-year-old forward Eddie Nketiah added a third with the last play of the game in the 95th minute as he poked the ball through Heaton’s legs.
No Local Bragging Rights For Arsenal
To finish in the top four, Arsenal needed to beat Burnley and hope rivals lost against Tottenham – while also achieving an eight-goal swing.
As it was, Spurs drew 2-2 with Everton to take the final Champions League place, a point ahead of Arsenal.
They have now finished below Tottenham in three consecutive league campaigns for the first time since a run of nine seasons from 1959-60 to 1967-1968.
That means there will not be a return of St Totteringham’s Day, which was the point in each season when Arsenal fans marked the precise moment they guaranteed finishing above Spurs.
The Burnley win did at least snap a run of four games without a win in the league.
Emery made nine changes from the side that beat Valencia 4-2, with only Aubameyang and Nacho Monreal keeping their place.
Aubameyang threatened twice early on, shouldering the ball against the crossbar from a free-kick and seeing a shot saved by Heaton from a tight angle.
But Burnley grew into the game and dominated against Arsenal’s defence of Shkodran Mustafi and Konstantinos Mavropanos.
An injury to Mavropanos in the 34th minute allowed Laurent Koscielny to come in and steady the ship.
Aubameyang proved the difference as he made it six goals in a week and took his tally to 31 for the season in all competitions.
A Burnley goal always seemed likely and, when it arrived, it was the 51st Arsenal had conceded in the league this season, a joint club record with 2017-18.
All eyes are now on the trip to Baku and a chance to win not only a trophy but get back into Europe’s elite.
Following that, Emery will need funds in the summer if he is to shore up his leaky defence while bettering this season’s tally of just seven away wins will also be crucial if a top four finish is to be achieved.
Burnley’s long season finally over
A 15th placed league finish is reward for a tough season that started on 26 July against Aberdeen in the Europa League qualifiers.
Their league form suffered and they sat in the relegation zone at Christmas and they never looked like reaching the heights that took them to seventh place last season.
But with safety secured at the end of last month, Sean Dyche could look forward to a long summer off and a full pre-season.
Not that his side played like their minds were on their upcoming holidays as they dominated for large parts of the game. Chris Wood went closest when his shot hit the inside of the post, while Matthew Lowton’s shot from close range was blocked by Mustafi in the first-half.
They battled hard and, in a feisty encounter, five Clarets players ended up in Mike Dean’s book.
Even after going behind, they showed character to pull one back and substitute Peter Crouch also went close at the end.
More to follow.
