Our in-form striker came closest when Albania keeper Arian Beqaj made a point-blank save in the second half as the home side were left to rue a succession of missed chances in Sofia - they finished the game with 19 efforts on goal. Dimitar played the full 90 minutes.
The goalless draw meant Bulgaria lost ground on Romania in what looks like a race for second place behind Holland in Group G.
Late goal denies Hallfredsson
Emil Hallfredsson's Iceland were less than 10 minutes from holding Spain to a goalless draw in Group F of Euro 2008 qualifying on Wednesday night.
Reserve regular Emil played the full 90 minutes as a goal from Barcelona's Andres Iniesta won it for the home side in the 81st minute at Son Moix in Majorca.
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Dimitar Berbatov was left frustrated as Bulgaria were held to a 0-0 draw in Euro 2008 qualifying by Albania on Wednesday.