Maria Sharapova of Russia serves to Irina-Camelia Begu of Romania during their women's singles first round match at the WTA Tianjin Open tennis tournament in Tianjin on October 11, 2017.
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The former world number one and five-time Grand Slam winner too just over an hour to win 6-3, 6-1 in China.
Sharapova lost her first service game but fought back to draw level before going on to take the opening set with a hold to love.
Voegele presented Sharapova with three match points when she made her eighth double fault when serving at 5-1 down and the Russian sealed the match with a forehand winner.
Sharapova, targeting a first title since returning to the tour in April following a drugs ban, will face third-seed Peng Shuai of China after she thrashed Sara Sorribes Tormo 6-0, 6-1.
In the other quarter-final tie, Aryna Sabalenka beat local hope Zhu Lin 6-3, 6-4 and she will play the winner of the match between Christina McHale and Sara Errani.