Dzeko appeared to be fouled in the area by Pique in the second half with the score at 1-0 and Kompany - who netted to make the score 1-1 before Dani Alves' late winner - claimed afterwards that the referee’s failure to award a penalty ended all hope of a comeback.
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“It took the chance away. We can discuss about stuff like this but you never know if things like this would have been enough to qualify.
“A few times, we could have scored and that would have obviously changed the game. Going down to 10 men again after it was a clear penalty, I think, isn't easy conditions to play against a strong team.”
City headed into the Camp Nou clash facing a mammoth task, with Barca having scored two away goals in the first leg at the Etihad Stadium, but Kompany felt he and his team-mates more than matched the Catalan giants over 180 minutes.
"Over the course of the two games, when there were 11 players on the pitch, there wasn't much between the teams,” he added. “Obviously [Lionel] Messi is an incredible player and anything can happen when he's on the ball but it could have been different.”