Romelu Lukaku was unable to add to his scoring streak as Inter, who twice hit the crossbar, were held by Shakhtar Donetsk.
Inter remain without a win in Champions League Group B after they were held to a goalless draw by Shakhtar Donetsk on Tuesday.
Antonio Conte's men thumped the same side 5-0 two months ago in last season's Europa League semi-finals but were unable to find a way through at the Kiev Olympic Stadium.
Romelu Lukaku had scored in nine straight European matches for Inter and came closest to making the breakthrough, his free-kick being pushed onto the bar by Anatolii Trubin.
