Manchester City eased into the Champions League quarter-finals for the first time in their history, thanks to their 3-1 lead from the first leg in Kiev after this dour draw.
But skipper Kompany limped off with his fourth calf injury of the season, injuring himself in the fifth minute as he tried to clear the ball.
Hobbled Fellow centre-back Nicolas Otamendi also hobbled off with a suspected thigh strain. Belgium defender Kompany is out of Sunday’s Manchester derby and could miss up to seven games.
Boss Manuel Pellegrini said: “Vincent again has a muscle injury in his calf, same as he had before.