Wigan striker Jason Roberts and Everton's Duncan Ferguson were both sent off late on in a stormy end to an entertaining draw.
Osman turns away in delight after Everton's opener
David Thompson's own goal gave Everton an early lead, only for Paul Scharner to equalise from close range in the dying seconds of the first-half.
Substitute Ferguson was only on the pitch eight minutes before he saw red for flooring Wigan goalscorer Scharner.
Roberts followed three minutes later for elbowing Everton's David Weir.
It was Ferguson's eighth sending off in the Premiership, equalling the worst red card count alongside former Arsenal captain Patrick Vieira.
Wigan boss Paul Jewell made seven changes from the side that lost at Manchester City in the FA Cup, while Everton were without injured striker James Beattie and keeper Nigel Martyn, who pulled out with an ankle injury.
Martyn's replacement Richard Wright was little more than a spectator early on, as Everton dominated the opening exchanges.
It was no surprise when they took the lead after nine minutes, Wigan's Thompson getting the final touch under pressure from Leon Osman after Stephane Henchoz deflected Tim Cahill's shot.
Wigan keeper Mike Pollitt then saved James McFadden's near post shot before Cahill had a goal ruled out for offside.
Scharner posted the warning signals for Everton with a header that flew narrowly over before he grabbed Wigan's equaliser in the closing seconds of the first-half.
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Pascal Chimbonda headed Henchoz's ball into his path, and he steered a finish past Wright.
Wigan almost turned the game on its head completely just seconds after the break when Wright had to dive bravely into a desperate six-yard scramble to deny Roberts.
Mikel Arteta then tested Pollitt with a low drive as an entertaining encounter switched to the other end.
Roberts had the ball in the net after 69 minutes, but the goal was correctly ruled out for a push on Alan Stubbs.
Cahill was Everton's most influential performer, and he was narrowly off target from 20 yards with Pollitt beaten.
Wigan were in the ascendancy - and Everton introduced Ferguson for Arteta after 72 minutes in a bid to stem the tide.
But the controversial Scot only lasted eight minutes before he was sent off for a clash with Scharner, which ended with the Wigan defender on the floor.
But Wigan's numerical advantage was brief, with Roberts being sent off three minutes later for elbowing Weir as they challenged for a high ball.
Wigan manager Paul Jewell:
"Everton were better than us in every respect in the first half. We can't cruise through games - we are not good enough.
"But we did a lot better in the second half and in the grand scheme of things I am happy with a point.
"I've seen the Jason Roberts sending off on video - and I think he is more irresponsible than malicious.
"He is fortunate because if we didn't have a re-arranged game against Spurs he would have missed the Carling Cup final.
"It was a flailing arm, but he's got to learn not to do that."
Everton manager David Moyes:
"Duncan Ferguson deserved to be sent off. I can't defend him.
"I've told him I feel as if he's let us all down, but I'm sure he knows he has let himself down. He's disappointed, but I can't defend it.
"I fancied us to take all three points from this game, but there was a period when we were in charge when I wanted us to get that second goal.
"To lose a goal close to half-time was a blow and in the second half Wigan were much better."
Wigan: Pollitt, Chimbonda, Henchoz, De Zeeuw, Baines, Teale, Bullard, Scharner, Thompson (Ziegler 45), Roberts, Mellor.
Subs Not Used: Filan, Jackson, Johansson, Francis.
Sent Off: Roberts (83).
Goals: Scharner 45.
Everton: Wright, Hibbert, Weir, Stubbs, Nuno Valente, Osman, Arteta (Ferguson 73), Cahill, Neville, Kilbane, McFadden.
Subs Not Used: Turner, Naysmith, Davies, Anichebe.
Sent Off: Ferguson (80).
Goals: Thompson 9 og.
Ref: M Dean (Wirral).