In a game of two halves Latics allowed the Swans to come back from 2-0 down and secure an unlikely draw.
The visitors had dominated the opening half and should have been out of sight by the interval.
They went ahead after only eight minutes when Joe Garner converted from the penalty spot and he added a second with a header from a corner on 33 minutes.
Latics looked to be in complete control but after the Swans made changes at half time they fought back to deny Latics a second away win of the season.
Swansea were on top in the second half and drew level with two goals from corners as Mike van der Hoorn headed home on 82 minutes after Dan Burn had unfortunately conceded an own goal in his final appearance for Latics.
Latics stay 19th in the Championship table four points above the drop zone while Swansea remain 13th.
Paul Cook made two changes to the staring eleven at West Bromwich Albion with Lee Evans and Darron Gibson returning in place of Callum Connolly and Josh Windass.
Latics’ Man of the Match at the Hawthorns Callum McManaman and striker Will Grigg both surprisingly remained on the bench.
Latics went ahead after only eight minutes after Kal Naismith was fouled in the area by Wayne Routledge and Garner converted the spot kick.
Latics were getting forward in numbers and captain Samy Morsy had a shot blocked before Lee Evans twice went close with a volley and a header.
It seemed only a matter of time before Latics would add to their lead as Naismith was denied by Erwin Mulder and Chey Dunkley had an attempt cleared off the goal-line.
But in the 33rd minute Garner doubled the lead when he headed home from a corner.
Naismith should’ve added a third just before interval but he dragged his effort wide of Mulder’s left hand post.
The Swans manager Graham Potter made two changes at half time changing the formation and they were soon causing Latics problems through Jason Montero.
The Swans pulled a goal back from a set-piece delivery which deflected off Burn and past Christian Walton.
The hosts were now on top as Latics retreated into defence.
Oli McBurnie had a near post effort off target and Bersant Celina shot just over from 25 yards.
But with just nine minutes remaining the Swans drew level as van der Hoorn got free in the area to score from a corner that Latics felt should never have been given.
Ultimately it was a frustrating afternoon for Latics who should’ve secured all three points after a dominant first half against an abject Swansea.
Latics’ high press in the opening period had been very effective but their failure to convert their numerous chances proved costly.
The Swans resurgence in the second half gradually wore them down although the hosts were somewhat lucky to draw level from a corner which shouldn’t have been given.