And Gary Caldwell's last-minute sending-off for a second bookable offence was too late to hinder Coventry.
Blake looked lively and had a 25-yard effort blocked by key Wigan defender Gary Caldwell.
But Gary Caldwell blasted the ball home from close range after 29 minutes.
Stephen McManus was the man to lose out in central defence following the return from suspension of Gary Caldwell.
Miller finished superbly after collecting an Aluko cross but was ruled offside and Gary Caldwell cleared off the second line.
Mendes had been nominated for the Players' Player of the Year award along with team-mate Steven Davis and Celtic's Gary Caldwell.
Just before the break, Torres glimpsed a sight of goal, but under pressure from Gary Caldwell steered his header over the bar.
Celtic defender Gary Caldwell was sent off for handball in the closing minutes, with Mehdi Taouil knocking in the consolation penalty for Kilmarnock.
Mowbray appears to be happy with his central defensive pairing of Gary Caldwell and Glenn Loovens, with Darren O'Dea as a potential back-up.
The Spaniard said referee Stuart Attwell had sent off defender Gary Caldwell for an incident he did not see, accusing the official of "lying".
BBC: Wigan boss Roberto Martinez fined over referee comments
Scotland then survived a penalty call when Lucas Leiva's low cross deflected onto the hand of Gary Caldwell after another incisive move from the South Americans.
Scotland struggled to establish any rhythm in the opening 15 minutes and Gary Caldwell was fortunate to avoid a yellow card for a scything challenge on Pandev.
Youngster Gary Caldwell remains in the squad that was defeated by Bradford at the weekend, while the Spaniard Marcelino returns after having recovered from a thigh injury.
First a poor pass from Gary Caldwell allowed Itey Shechter to level things at 2-2 before a mix up in the six-yard box allowed Dwight Tiendalli to scramble home the winning goal.
Two slightly fortunate goals, through defender William Gallas and an own goal from Celtic captain Gary Caldwell, gave the Gunners a commanding advantage to take into the second leg at The Emirates Stadium.
However, a long ball out of defence from Gary Caldwell caused havoc in the Shakhtar defence and, when Razvan Rat and Dmytro Chygrynsky collided, Jarosik pounced to blast the ball into far corner.
Only Chung-Yong Lee down their right seemed capable of upping the tempo and his dangerous cross was crucially headed away by Gary Caldwell, with Johan Elmander all set to nod home from three yards.
But Gary Caldwell only went with one foot.
BBC: Wigan boss Roberto Martinez fined over referee comments
Pollitt denied Johan Elmander when the Sweden international nipped in to capitalise on Gary Caldwell's stray back-pass, and Wigan were again indebted to the veteran keeper when he made an agile save from Martin Petrov's dipping volley.
However, the Czechs were soon back in command and coming closer to a breakthrough, with McGregor gathering on the line after a combination of Hubnik and Gary Caldwell diverted a cross into the six-yard box towards goal.
Cole should have levelled soon afterwards when he ran clear and rounded Kirkland but he did not look up before firing goalwards, and failed to see that Gary Caldwell had got back to brilliantly block the ball on the line.
In bright sunshine, the present side, managed by Neil Lennon, ran out easy winners with a Lee Naylor hat-trick, doubles from Gary Caldwell and Scott McDonald, and with Jan Vennegoor of Hesselink, Aiden McGeady, Massimo Donati and Simon Ferry also on the scoresheet.
Shortly after the restart, Gary Caldwell powered in a short-range header that worked its way back out of the Dons defence, but Aiden McGeady flighted flighted in a searching cross for Samaras to double Celtic's tally with a cute header from six yards out.
Gerrard was allowed time and space with the ball in midfield and he used it to telling effect as he slid a ball through to Torres, who took a lovely first touch and held off Gary Caldwell before catching Al-Habsi off guard by taking his shot early to find the bottom corner.
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