Scott McDonald headed Celtic into a deserved lead after 79 minutes, but Lee McCulloch matched that seconds later.
They started the second half nervously, as Lee McCulloch and Roberts both blasted good chances over for the Latics.
Sheffield United Danny Webber hit a post and Wigan had Lee McCulloch sent off in a frantic second period.
With Sasa Papac and Madjid Bougherra still missing through injury injury, manager Walter Smith continued to experiment with striker Lee McCulloch in defence.
And the Latics should have taken the lead after three minutes but Ryan Taylor's free-kick was volleyed wide from six yards by Lee McCulloch.
Home keeper Craig Wight was forced to pull of decent saves from Brannan, Kevin Twaddle and Lee McCulloch before the match was 20 minutes old.
The visitors were pinned back early on and and Rangers' Lee McCulloch had a header saved by Langfield before seeing a long-range shot deflect wide.
The results are not going for him, but Lee McCulloch's situation is not the same - he had just decided his time had passed and he ruled himself out.
But Ferguson forced the ball home when Lee McCulloch's effort was saved after 65 minutes only for Panucci to head home from a disputed Pirlo free kick.
Thomson almost turned goalscorer himself with a curling effort from 25 yards that struck the top of the crossbar and a Lee McCulloch header flew just over.
Rangers centre-back Madjid Bougherra and his usual replacement in that position, Lee McCulloch, had succumbed to flu so Papac moved into the centre of defence with David Weir.
Rangers team-mates Kris Boyd and Lee McCulloch have been recalled.
Burns' squad had already been disrupted by injury, Wigan Athletic forward Lee McCulloch not being available due to damaged ankle ligaments and Southampton's Neil McCann having a broken toe.
BBC: SPORT | Football | Internationals | Scotland call for keeper Combe
Chris Burke came in for the suspended Lee McCulloch as Rangers manager Walter Smith stuck by the side that played so well in drawing with Aberdeen despite being down to 10 men.
Rangers started the match with Lee McCulloch again used as a makeshift center-back in place of the suspended Bougherra, with veteran David Weir back after missing the game in Germany due to injury.
As in the first leg, Rafael Ledesma looked the player most likely to cause Rangers problems and that proved to be the case when Lee McCulloch picked up a booking for fouling him 30 yards out.
Scotland striker Kenny Miller netted a double and Steven Naismith wrapped up the romp after Lee McCulloch's 14th-minute opener was canceled out by Carl Finnegan of Falkirk, who made a poor start under new manager Eddie May.
Scotland's defence came in for criticism following the 3-0 friendly defeat to Sweden earlier this month, prompting Levein to recall Weir, while holding midfielders Paul Hartley and Lee McCulloch are other older heads brought back to the squad.
Blackpool's Charlie Adam has enjoyed a few seasons jousting with giants, and he came on for the second 45 for Lee McCulloch, whose efforts to keep in touch with the fluent Spanish midfield play resembled a thundering bull being teased by matadors.
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