Three-time Miami Open winner Victoria Azarenka battled for nearly three hours to get past a determined Yulia Putintseva and take her place in the semi-finals
World number one Iga Swiatek powered past Greece's Maria Sakkari 6-4, 6-0 on Sunday to claim her second Indian Wells WTA title two years after she beat Sakkari for her first.
Aryna Sabalenka moved closer to clinching the year-end world number one ranking on Sunday by dominating Greece's Maria Sakkari in a group-stage opener at the WTA Finals
Zhu, whose 29th birthday will be on women's singles final day next Saturday, is into the last 16 and a date with former champion Victoria Azarenka
The hard-hitting Shnaider broke Sakkari's opening serve and showed huge guts to save three break-back points and secure the opening set in 48 minutes on her fifth set point.
World number five Maria Sakkari advanced to the last four of the WTA Finals for the second straight year on Wednesday as Tunisia's Ons Jabeur got her campaign back on track with a battling victory
Greece's Sakkari, ranked fifth in the world, toppled third-ranked American Pegula 7-6 (8/6), 7-6 (7/4)
Third seed Maria Sakkari crashed out of the US Open after losing 6-3, 5-7, 5-7 to China's Xiyu Wang in women's singles second round.