Goalkeeper Artur Boruc was selected in goal for Celtic despite an error in the weekend defeat at Hibernian.
The Portuguese midfielder's swerving effort sailed past the outstretched arms of Artur Boruc and into the bottom corner.
It remains unclear whether Zaluska is being viewed as a replacement or a back-up to fellow Pole Artur Boruc.
Eduardo's 25th-minute penalty, a contentious award after he clashed with Celtic keeper Artur Boruc, extended the Gunners' two-goal first leg lead.
Kenny Miller showed pace and poise to meet a Kris Boyd through ball and slot past Artur Boruc in eight minutes.
Falkirk were almost handed a lifeline when Carl Finnigan intercepted a poor pass-back from Nakamura, but goalkeeper Artur Boruc blocked the striker's effort.
There were two astonishing saves from Artur Boruc and Allan McGregor, which underlined again the remarkable talent that goalkeepers have for ignoring headlines.
There appeared to be no contact between Eduardo and Celtic goalkeeper Artur Boruc and referee Manuel Gonzalez gave a penalty that Eduardo converted.
Jonny Evans slid in to restore the lead and Northern Ireland went further ahead when Michal Zewlakow's backpass bobbled past keeper Artur Boruc.
And there were similar doubts about his second, turned in on the rebound after Celtic keeper Artur Boruc could not hold Cristiano Ronaldo's free-kick.
Hibs did put the home side under some pressure with Celtic keeper Artur Boruc making saves to deny Steven Fletcher, Guillame Beuzelin and Clayton Donaldson.
Celtic goalkeepers Artur Boruc and Lukasz Zaluska have both been fined for making gestures to opposition fans in recent seasons, the latter while with Dundee United.
There was no disguising Mowbray's disappointment that a win had not been achieved but he was boosted by the performance of Artur Boruc's stand-in, Lukasz Zaluska.
The Englishman landed Motherwell's equaliser 60 seconds later after McHugh delivered a fine cross from the right for Jutkiewicz to back-heel past a hapless Artur Boruc.
Killie hit back with a shot from Nish and a Wales header was knocked off the line by Riordan, although Artur Boruc looked perfectly placed to save.
The Poles also made several switches, with Celtic's Artur Boruc taking over from Fabianski in goal, while Ebi Smolarek, Guerreiro and Wojciech Lobodzinski replaced Rafal Boguski, Gargula and Krzynowek.
Keeper Artur Boruc returned for Celtic after recovering from a knee injury, while Aberdeen skipper Mark Kerr was suspended and Chris Maguire and David Grassi returned to the bench.
Sutton then got in behind the Celtic defence to fire in a shot that was comfortably held by Mark Brown, the goalkeeper included in place of Artur Boruc, who is awaiting knee surgery.
Rangers were seldom seen as an attacking threat and their only sight of goal in the first half came when Sebo turned nicely on a Brahim Hemdani pass only to shoot tamely at Artur Boruc.
Hearts had rarely been seen as an attacking force until the stroke of half-time, when a shot on the turn by Elliot went through goalkeeper Artur Boruc's legs but was cleared off the line by Caldwell.
Strachan half-joked that he'd been named PFA Manager of the Year mostly for his man-management in coping with complex characters such as goalkeeper Artur Boruc, as well as dealing with a frosty relationship with winger Aiden McGeady.
Television replays appeared to suggest that there had been minimal contact between Eduardo and Celtic goalkeeper Artur Boruc, and the Arsenal striker went on to convert the spot-kick to help Arsenal progress to the group stages with a 3-1 victory.
Lukasz Zaluska returned to Celtic goal after Artur Boruc was left out due to a family bereavement, while John Hughes dropped Lewis Stevenson to the bench and Chris Hogg was left out altogether as Anthony Stokes and Darren McCormack came in.
Roared on by their passionate home supporters, Celtic held their own for much of a frantic first half but in the 43rd minute Cesc Fabregas' drive from 30 yards out took a wicked deflection off Gallas' back to send the ball past goalkeeper Artur Boruc.
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