Chris Iwelumo's diving header from Wade Elliott's cross gave the home side the lead just before half-time.
Falkirk youngster Mark Stewart then went close with a spectacular diving header, but Smith was well-positioned to save.
St Ledger restored the Republic's lead with a diving header at the far-post from Stephen Hunt's pinpoint free-kick.
They almost had something to cheer just before the break but Kirkland held on to Solskjaer's diving header.
Fletcher netted with a diving header in the 22nd minute after he met a Colin Nish pass across goal.
Brazilian Geovanni made it 2-0 with a diving header after Marlon King's flick before King slotted in a low shot.
Adebola headed over after just three minutes, while team-mate Andrew Whing directed his diving header straight at home keeper Clayton Ince.
Elliott's accurate right-wing cross made it impossible for the Scotland international to miss and he made no mistake with a diving header.
Ten minutes later, Scott Severin saw his diving header skim the top of the Hibs crossbar after connecting with a Valois corner kick.
Kalou got his second when his low strike deflected off David Wheater before Frank Lampard's diving header rounded off a superb Chelsea breakaway.
Willo Flood curled in a dangerous cross from the left, and with Feeney failing to make contact, McLaughlin's diving header flew past Cerny.
Paul Scharner's diving header was well saved by keeper Paul Robinson and Kilbane headed over with a gaping goal in front of him.
First, King produced a superb volleyed flick for Geovanni to run onto and meet with a diving header which left Carson with no chance.
On 55 minutes Andres Iniesta side-footed home from 12 yards before a Steven Naismith diving header and a Gerard Pique own-goal levelled the tie.
Aberdeen did take the lead in the 26th minute after a fabulous move as Young crossed for Winters to score with a diving header.
Luke Steele parried a Darren Pratley header into Ashley Williams for the opener, then Shefki Kuqi glanced in a diving header off Mark Gower's cross.
The hosts could have levelled in the 54th minute when Stoke goalkeeper Asmir Begovic flapped at Barrera's corner and James Tomkins put a diving header just wide.
Kalou and Anelka exchanged passes as the Blues came storming forward, before Kalou dinked a perfect cross for Lampard to send a diving header into the corner.
Downing whipped in a cross to the near post and Viduka stole in between Rio Ferdinand and Brown to send a diving header past Van der Sar.
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Etoile goalkeeper Aymen Balbouli frustrated the CONCACAF champions throughout and produced some fine saves to stop Gabriel Caballero's diving header and Marvin Cabrera's fierce shot in the first half.
An Ian Murray cross was knocked back to the Scotland squad player with a cushioned volley from Nish and Fletcher's diving header beat Lukasz Zaluska from eight yards out.
However, it was the visitors who broke the deadlock after 15 minutes when Dean Shiels crossed for Heffernan who netted his fifth of the season with a superb diving header.
Rangers should have taken the lead after 23 minutes, a Mikel Arteta free kick finding Paolo Vanoli only for Timo Hildebrand to push away the diving header from 14 yards.
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That lead was doubled just six minutes later when Gerrard's corner was met with a superb diving header from Dutchman Kuyt, giving Steve Harper no chance in the Newcastle goal.
The Eagles were on the verge of an unlikely fifth-round victory when Petrov plunged to meet Stewart Downing's corner with a diving header to hand Martin O'Neill's side an 87th-minute equaliser.
Ronaldo's presence had unnerved Villarreal, and he headed just wide from Nani's cross and then set up Evans with a perfect cross, only for the youngster to send a diving header against the post.
Torres' wonder strike was followed by a procession of Reds chances, as Torres, Gerrard and Agger (twice) all shot wide and Javier Mascherano's drive was spectacularly repelled by Kieran Richardson's diving header.
Minutes after Saha had sent a crashing diving header wide from a flowing Everton move, former Middlesbrough striker Yakubu levelled when he got the decisive touch on Arteta's free-kick from six yards out.
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.
In the 58th minute, Mair did tremendously well to out-muscle Paul Quinn and get on the end of Steven Robb's free-kick, but at full stretch Meldrum brilliantly parried the home defender's powerful diving header.
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