"Obviously, we are not happy but I can't say I'm disappointed with the performance," Kompany told reporters. "We are disappointed we couldn't win the game.
"Other than that, it was a good performance. Physically, we stood up to the challenge and we dominated the game.
Kompany, who played 90 minutes in a league game for the first time in a year, said City were ready to fight for a top-four finish to qualify for Champions League next season.
City will also face Arsenal in an FA Cup semi-final on April 23, which is their only hope for a silverware in manager Pep Guardiola's first season at the club.
"Regarding our position, it will be a fight until the end for us," Kompany added.
"Our target (now) is Champions League and hopefully, getting to the final of the FA Cup."
(Reporting by Hardik Vyas in Bengaluru)
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