Ryder Cup winners Paul Casey, Miguel Angel Jimenez and Lee Westwood will make the trip to Ireland.
Miguel Angel Jimenez delighted the crowds with a stunning piece of ingenuity after running into trouble on the 17th.
Miguel Angel Jimenez won the inaugural event in 2003, with Garcia winning in 2004 and Jose Maria Olazabal triumphant last year.
After Dredge sealed the win, Ireland's Paul McGinley added another point with a one up triumph over Spain's Miguel Angel Jimenez.
European number one Montgomerie will face strong competition from holder Miguel Angel Jimenez and Ryder Cup duo Paul Casey and Thomas Bjorn.
Martin Erlandsson is on his own in second, with fellow Swedes Pelle Edberg and Steven Jeppesen and Spain's Miguel Angel Jimenez a shot further back.
Spaniard Miguel Angel Jimenez, who will be competing in his fourth Ryder Cup in October, carded six birdies and two bogeys to go level with Clarke.
The group of players one off the pace contains the Spaniards Miguel Angel Jimenez and Juan Parron, Miles Tunnicliff of England and South African Titch Moore.
The South African carded eight birdies and one bogey to overtake Miguel Angel Jimenez of Spain and Australia's Nick O'Hern at the top of the leaderboard.
Harrington teamed up with world number number eight Luke Donald, Ian Poulter went out with Ross Fisher while Peter Hanson and Miguel Angel Jimenez completed the match-ups.
Many of the players made the trip to Shanghai in May this year for the BMW Asian Open won by Miguel Angel Jimenez at Tomson Shanghai Pudong Golf Club.
The European team also included Lee Westwood, Rory McIlroy, Martin Kaymer, Ian Poulter, Ross Fisher, Francesco Molinari, Edoardo Molinari, Peter Hanson, Luke Donald, Padraig Harrington and Miguel Angel Jimenez.
He is one ahead of two-time winner Miguel Angel Jimenez of Spain, China's Zhang Lian-wei and Swede Fredrik Andersson Hed, the top four all 40 years of age or older.
Order of Merit leader Miguel Angel Jimenez also crashed out on level par, but his Ryder Cup spot looks pretty secure with John Daly also exiting on the same mark.
The veteran shot five birdies and three bogeys to lay alongside England's Paul Casey, while Spain's Miguel Angel Jimenez and Retief Goosen of South Africa are well placed on three under.
Miguel Angel Jimenez, playing his first tournament since breaking his leg in a skiing accident last year, missed the halfway cut along with former major champions Michael Campbell and Jose Maria Olazabal.
Twice-Masters champion Olazabal, 40 in February, showed a top class field, including Spanish compatriots Sergio Garcia and Miguel Angel Jimenez, a clean pair of heels on the Pula course which he is currently revamping.
"As a competitor and as a passionate players with the Ryder Cup, the Spanish have been a fantastic asset to our team over the years, starting with Seve Ballesteros, through Jose Olazabal and Miguel Angel Jimenez, " said Montgomerie.
Miguel Angel Jimenez, at 48 seeking to become the tour's oldest winner, finished the third round tied for the lead with 43-year-old Michael Campbell -- whose last victory came in 2005, the year he won his only major.
CNN: Jimenez seeking to become European Tour's oldest winner
The fightback continued for Thomas Bjorn's side as Spanish pairing Miguel Angel Jimenez and Gonzalo Fernandez-Castano came back from two-down to defeat Ross Fisher and Nick Dougherty on the 17th to boost their hopes heading into the second day.
Miguel Angel Jimenez's awesome recovery from the sand trap at the sweet 16th nudged him towards a first full Ryder Cup point in eight matches since 2004 - finished off beautifully at the signature 18th with a textbook birdie.
For Europe, Graeme McDowell and Rory McIlroy played with Luke Donald and Martin Kaymer, Harrington and Peter Hanson went out with Lee Westwood and Ross Fisher with Edoardo Molinari and his brother Francesco taking on Ian Poulter and Miguel Angel Jimenez.
The Swede, along with Miguel-Angel Jimenez and Edoardo and Francesco Molinari, have been left out of the opening day's fourball action.
BBC: Ryder Cup 2010: Westwood aims to lead Europe by example
Tension is also something that Miguel-Angel Jimenez said he has been experiencing, despite the fact the Spaniard is set to make his fourth appearance in the competition.
BBC: Ryder Cup 2010: Westwood aims to lead Europe by example
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