In the accompanying WTA event, top seed and World No.1 Victoria Azarenka swept past second seed Maria Sharapova of Russia in straight sets in the final.
In Oeiras, Stanislas Wawrinka upset top seed and world No. 4 David Ferrer 6-1 6-4 to win the Portugal Open on Sunday.
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Top seed and world number one Lindsay Davenport is on Court Four wacking balls left, right and centre as she bids to get back in the zone before resuming her rain-affected semi-final tussle with the number three seed Amelie Mauresmo.
The president offered to seed their world champions, Mr Kasparov and Mr Karpov, through to the semi-finals, in effect guaranteeing each of them a purse of several hundred thousand dollars and requiring them to win only two matches to take the title.
Del Potro had beaten third seed Murray and world No.1 Djokovic to reach the final, but conceded he couldn't match Nadal.
The women's 2011 winner Sam Stosur was drawn against Croatia's Petra Martic, with top seed Victoria Azarenka playing world No. 74 Alexandra Panova.
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In the men's draw, second seed Roger Federer and world No. 3 Andy Murray both continued their strong starts to the tournament with emphatic victories.
Second seed Nadal faces former world No. 3 David Nalbandian in Friday's quarterfinals following three-time champion Roger Federer's clash with another Argentine, ninth seed Juan Martin del Potro.
American Andy Roddick advanced with a 6-3 6-4 6-1 success over Dutch world No. 53 Robin Haase, and the 15th seed will next play fellow former world No. 1 Lleyton Hewitt of Australia.
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Polish sixth seed Agnieszka Radwanska defeated former world No. 1 Ana Ivanovic 7-5 7-5 to set up a clash with Kazakhstan's Yaroslava Shvedova.
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Sharapova's semifinal opponent will be countrywoman Maria Kirilenko, after the 13th seed upset in-form world No. 8 Petra Kvitova with a 4-6 6-4 6-3 win.
In the women's draw, top seed Azarenka will play former world No. 1 Caroline Wozniacki in the quarterfinals after overcoming an ankle injury to beat Poland's Urszula Radwanska 6-3 6-1.
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Thirteenth seed Radek Stepanek beat former world number one Juan Carlos Ferrero 6-3 6-0 in the first round on Monday, while 16th seed David Ferrer beat Richard Gasquet 6-4 6-3.
They were joined in the second round by 13th seed Samantha Stosur of Australia, Russian 19th seed Nadia Petrova and former world No. 1 and 2008 finalist Ana Ivanovic, seeded 20th.
In its brief Monday, the Center for Food Safety said the current intellectual property environment related to transgenic crops has spurred a substantial privatization and concentration of the world's seed supply that has resulted in 10 multinational corporations holding approximately 65 percent of commercial seed for major crops.
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Neither the scientific evidence nor the real-world experience with neonicotinoid seed treatments supports a ban.
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Wild card Bogdanovic, 23, is ranked 70 places below 13th seed Lee at 117th in the world.
The justices unanimously found the world's largest seed producer has intellectual property control over its best-selling "Roundup Ready" soybeans.
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Fifth seed Murray will now play either world number one Roger Federer or Jo-Wilfried Tsonga of France in Sunday's final.
On her return, second seed Jackman will face Natalie Grainger, the fourth seed who despatched Egypt's world junior champion Omneya Abdel Kawy 9-0 9-6 9-2.
His opponent in the final on Sunday will be Chinese top seed Lin Dan who squeezed past world number two Lee Chong Wei of Malaysia 15-9 10-15 17-14.
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Sixteenth seed Berdych, who had eliminated world number one Roger Federer in the previous round, endured another gruelling battle to defeat Spain's Verdasco 4-6 7-6 (7-5) 6-4 in just under three hours.
Russian seventh seed Vera Zvonareva battled past Romanian world No. 61 Alexandra Dulgheru, as last year's semifinalist won 7-6 (7-4) 6-7 (5-7) 6-3 to set up a clash with 51st-ranked Czech Lucie Hradecka.
Washington (CNN) -- Hugh Bowman's unusual planting methods for his Indiana farm landed him in trouble with the world's largest seed producer, and it appears the Supreme Court may not see things his way either.
Yet large companies such as Giumarra, one of the world's biggest agricultural seed companies, are relatively few.
In the other semifinal, fifth seed Guillermo Garcia-Lopez takes on world No. 133 Frederico Gil, having progressed when fellow Spaniard Alberto Martini retired due to illness.
Sharapova will next face Estonian 23rd seed Kaia Kanepi, who upset former world No. 1 Caroline Wozniacki in round three and then beat unseeded Dutchwoman Arantxa Rus on Monday.
Former world number one Ana Ivanovic , currently down to 62 in the world rankings, beat 32nd seed Yaroslava Shvedova 6-1 7-5, having seen off ninth-seeded Victoria Azarenka in the first round.
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