Starting the game in 17th, Celta knew a victory would preserve its top-flight status, and Carlos Carvalhal's men took charge as Veiga struck either side of the break. 

The 21-year-old drilled into the bottom-left corner to spark wild scenes at the Balaidos shortly before half-time, then saw a fortuitous 65th-minute cross sail in off the far post.

Celta clung on after Barca substitute Ansu Fati nodded home, clinching a 13th-placed finish as Real Valladolid went down, while Barca ended the campaign 10 points clear of runners-up Real Madrid.

Barca thought it had an 11th-minute lead when Franck Kessie latched onto a rebound to beat Ivan Villar, only for a VAR review to show the midfielder was offside.

Oscar Rodriguez skewed a first-time shot just wide as Celta went close, while Robert Lewandowski saw a curling effort clip the outside of Villar's left post.

The offside flag thwarted Rodriguez as he capitalised on Marc-Andre ter Stegen's error to flick home, but Celta did go ahead on the stroke of half-time when Veiga raced onto Haris Seferovic's pass to finish across goal.

With Barca struggling for momentum, Veiga put Celta 2-0 up when his mishit cross from the right swerved over substitute goalkeeper Inaki Pena, clipping the woodwork before nestling in the back of the net.

Fati ensured a nervous finish by heading in Ousmane Dembele's cross 11 minutes from time, but Celta clung on to ensure another season of top-flight football.