Second-seeded Wozniacki and 2008 runner-up Jo-Wilfried Tsonga had to come back from big deficits. Wozniacki was 5-1 down and facing two match points in third set while Tsonga rallied from 5-2 down in the fifth set.
France's Lucas Pouille puts up a spectacular show, clinching 10th Davis Cup title and defeating Belgium's Steve Darcis.
Seven-time champion Federer makes it into the fourth round for the 15th time while women's top seed, Angelique Kerber, from Germany advances to the next stage after flirting with danger in her match against American outsider Shelby Rogers.
French 12th seed Jo-Wilfried Tsonga was beaten by Argentine Renzo Olivo. In the women's singles, Venus Williams is looking to capitalise on her sister's absence in the tournament.
The 29-year-old British tennis player climbs to the top of the world's tennis rankings after years of hard work, taking over from Serb player Novak Djokovic.
The quarterfinals of the tennis calendar's final grand slam gets underway this week at the USTA Billie Jean King National Tennis Center in New York.
Other doubtful starters for the grass court Grand Slam include Victoria Azarenka and Jo-Wilfried Tsonga.
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