Kayode Odejayi's second-half header was enough to seal a trip to Wembley for the Championship strugglers.
Paul Scharner's spectacular first-half header from just inside the box looked to have put Wigan on course for a win.
Kris Boyd hit the bar for the visitors with a first-half header and the Pars' Jim Hamilton flashed a header wide.
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Everton's Steven Pienaar hit the bar soon after while from Mikel Arteta's smart free-kick Jack Rodwell glanced a second-half header just inches wide.
Matthew Langston's first-half header stunned Leeds and prompted an angry reaction on the final whistle from the travelling supporters at the Glass World Stadium.
Meanwhile, in Group K , Otman Bakkal's first-half header was enough for PSV Eindhoven to claim their opening win at home to CFR Cluj.
Danny Hone's first half header was enough to seal the win, although his central defensive partner Liam Hatch was withdrawn late on with an injury.
Ferguson's side put in a poor performance, with keeper Ben Foster at fault for the second-half header from Kenwyne Jones, which put the visitors 2-1 ahead.
Steve Evans' first-half header gave Wrexham a slim lead after Louis had seen his penalty, awarded for the foul on Whalley, saved by Oxford goalkeeper Jake Cole.
The home side's best chance came courtesy of Hamilton Ricard, who also hit the post with a first-half header that forced goalkeeper Nigel Martyn to save on the rebound.
Henrik Larsson had Sweden's best chance with a first-half header that hit the crossbar, but Russia nearly got its second goal in the 36th when Pavlyuchenko's shot also hit the woodwork.
Sheridan nodded an early second-half header wide of the mark but the on-loan Celtic striker grabbed Motherwell's second in the 58th minute with a simple goal from close range after a Steven Hughes crossed broke into his path.
Dele Adebola had the best chance of the first half but his header was superbly saved by Palace keeper Julian Speroni.
Striker Rory Fallon scored the decisive goal at the Westpac Stadium in the final minute of the first half with a header from a Leo Bertos corner.
Park scored what proved to be the winner in the first half, with a header from Nani's deflected cross.
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Then Danny Collins, who missed a scoring chance in the first half, saw his header cleared from underneath the bar by Lucas Neill.
Boruc had to move sharply to turn around a Jose Goncalves header as half-time approached then Caldwell was called into action to prevent an Andrew Driver shot from crossing the line after the Polish keeper had palmed the ball goal-bound.
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Boro's only significant effort of the second half saw Tuncay glance a header over from Hoyte's left-wing cross.
Iwelumo found his way in behind the Cardiff defence when centre-half Roger Johnson misjudged a header 35 yards out.
But Berbatov broke the deadlock before half-time with a header from a corner.
And the striker bagged his 19th goal of the season on the stroke of half time with a powerful header.
Morris again made a good save 10 minutes into the second half from a Ryan Mullan header after a McCafferty free-kick.
Wigan came back into the game towards the end of the first half and Heskey's header revived the home side's hopes.
It was Italy who rode their luck on the stroke of half time when a Weir header was cleared off the goalline by Pirlo.
Arca was guilty of an even worse miss midway through the half, planting a free header wide of the post from a Pogatetz cross, before Viduka finally struck.
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Katlego Mphela, who was denied giving his side a win against Mexico by a post late on - missed the target with a close range header in each half.
The visitors went in search of a leveller early in the second half and Iriekpen had a header cleared off the line after Luis Rubiales' corner had struck the crossbar.
The Czech midfielder ought to have grabbed himself a second goal in the closing seconds of the half but sent his diving header wide from five yards following a fine Aiden McGeady cross.
Vincent Kompany doubled the lead on the cusp of half-time with a powerful header from Martin Petrov's corner.
Germany striker Mario Gomez wasted the best chance of the match when he sent a free header wide just before half-time.
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