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Djokovic ended the set by emerging victorious in six of the final seven games, taking a commanding lead. Norrie had an opportunity to stop his run in the second set by forcing a break point with the score tied 3-3, but Djokovic fought through five attempts to get through deuce and held serve.
Draper's newly acquired clay-court skills disappeared in a blizzard of chips, slices and drop shots from Bublik on Suzanne-Lenglen.
The 21-year-old will face another American, either Madison Keys or Hailey Baptiste, for a spot in the final four.
The final day of Round of 16 action will see Novak Djokovic attempting to reach the quarterfinal at Roland-Garros for the 16th consecutive year.
Nadal, a 14-time Roland Garros champion whose record may never be surpassed, was honored by tennis rivals Novak Djokovic and Roger Federer.
Paralympic champions Tokito Oda, Yui Kamiji, and Niels Vink headline a 40-player field across the men’s, women’s, and quad draws at Roland Garros
The last time an American made the quarterfinal at Roland-Garros was 2003. Rafael Nadal was playing his first full year on the ATP Tour, Novak Djokovic had not yet played an ATP Tour match, and Carlos Alcaraz was one month old. How's that for some history?
Clay-court tennis is dialogue between players, the ball, the court and the weather. In springtime Paris, the conversation is like no other.