Liverpool loanee felt his side did well to reach the final.
The Reds had been 1-0 up at half-time but had no answer for the La Liga side in the second half, defensively or offensively.
Daniel Sturridge scored an excellent first half goal for the Reds, but the last 45 minutes will give manager Jurgen Klopp plenty to ponder heading into his first summer as Liverpool manager.
One player whose future needs to be resolved is Mario Balotelli, who has been out on loan at AC Milan.
He is pretty much a forgotten figure at Anfield, but he still holds a respect for the Reds, offering his commiserations via Twitter after the final whistle.
Congratulations to Liverpool players anyway.— Mario Balotelli (@FinallyMario) May 18, 2016
Liverpool had performed well to reach the final, beating Villarreal in the semis, and memorably knocking out Borussia Dortmund in the last eight, 5-4 on aggregate.
Their inability to clear the last hurdle and lift the trophy saw their chances of winning a Champions League spot next season disappear.