The Russian won her first grand slam title at Wimbledon eight years ago, before going on to win the US Open in 2006 and then then Australian Open four years ago.
Nadal joins Roger Federer, Andre Agassi, Roy Emerson, Rod Laver, Don Budge and Fred Perry in having swept the board, and also becomes the first man since Laver in 1969 to win the French Open, Wimbledon and US Open in the same year.
McDowell, who won the US Open in June, knew he had to win the match to stop the US from retaining the Ryder Cup.
Joining Dredge as a debutant in the event will be England's Kenneth Ferrie, thanks to his sixth place finish at the US Open, and Scot Richie Ramsay, the first British player to win the US Amateur since 1911.
The Scot, 23, made a disappointing third-round exit at the US Open, which Nadal went on to win and so complete the career Grand Slam.
Andy Murray was made an OBE in a year which saw him win Olympic gold and become the first British man to win a grand slam singles title for 76 years when he triumphed in the US Open.
But I believe winning on Tuesday will open the door for us to win this group and qualify to the final qualifying round.
Murray had gone into the US Open with many predicting he could win his first Grand Slam title after a superb run at the Toronto Masters in the build-up, beating Nadal and Roger Federer on his way to winning the tournament.
He became the youngest player ever to complete the career Grand Slam with his 2010 US Open win.
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Serbian top-seed Novak Djokovic made a successful return to action following his runner-up finish at the US Open, kicking off the defence of his title with a 6-1 6-3 win over home favourite Gong Maoxin.
Murray - ranked a lowly 479 a year ago when he captured the US Open Boy's singles title - joined the game's elite with a characteristically gritty win over Swede Robin Soderling at the Thailand Open on Thursday.
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