A nervous Li Na edged past Russian 24th seed Ekaterina Makarova to set up a semi-final versus defending champion Serena Williams.
Serena Williams was ruthless against birthday girl Carla Suarez Navarro, routing her 6-0, 6-0.
Novak Djokovic was flawless in his 6-3, 6-0, 6-0 victory over Marcel Granollers to enter the quarterfinals.
Stanislas Wawrinka outlasted Tomas Berdych in two hours and 47 minutes to claim a 3-6, 6-1, 7-6 (8/6), 6-2 victory.
In a thrilling five-set match, Russian 21st seed Mikhail Youzhny beat former world no.1 6-3, 3-6, 6-7 (3/7), 6-4, 7-5 Lleyton Hewitt in the fourth round.
Despite the heartbreaking the popular Aussie said he would not be rushed into retirement. Hewiit last made the quarterfinal of a Major at Wimbledon in 2009.
There were no worries for Andy Murray, who had time to chew on his racquet, during a 6-7 (5/7), 6-1, 6-4, 6-4 win over Uzbekistan's Denis Istomin.
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