Li, Radwanska, Petkovic through in China Open
Li Na of China returns to Sabine Lisicki of Germany during her women's single match of the China Open tennis tournament in Beijing on October 2, 2013
The home crowd favourite dumped out her German opponent 7-5, 6-4 in a cool-headed display of efficiency at a packed National Tennis Centre in Beijing.
The world number five drew loud applause within the first five minutes after she broke Lisicki's serve with the first game of the match.
Lisicki broke back to level the scores at 5-5, but Li powered ahead and took the decisive final two games, with her coach Carlos Rodriguez signalling at her from the stands to maintain her mental strength.
A Mexican wave began as Li won the set. When she broke Lisicki's serve on the fifth game of the second set, the result never looked in doubt as the 2011 French Open winner closed in on victory.
In the quarter-finals the fourth seed will face Czech Petra Kvitova, who defeated Italian Sara Errani 6-4, 6-7(7/3), 6-3 in their third-round match.
World number four Agnieszka Radwanska had earlier powered through to the third round with a convincing victory over American teenager Madison Keys.
The Polish third seed took one hour and 15 minutes to claim a 6-3, 6-2 victory over the 18-year-old, who is being tipped as one of the rising stars of women's tennis.
Radwanska, a previous winner in Beijing in 2011, had defeated Keys at Wimbledon in the summer, and praised her opponent after their meeting.
"I think she's one of the youngest talented players coming out," she told reporters after the second-round match.
"I think in a couple of years we are going to see her more often, definitely."
Elsewhere, Andrea Petkovic continued her stunning form at the tournament by dumping out former Roland Garros winner Svetlana Kuznetsova 4-6, 6-4, 6-1 in her second-round match.
The German, who is ranked 43 in the world, took just over two hours to claim victory over the 25th-ranked Russian, a previous winner in Beijing in 2006 and 2009.
Petkovic's victory over the 2009 French Open singles champion follows her stunning first-round defeat of second seed and current Beijing champion Victoria Azarenka.
The 26-year-old said claiming the scalps of both the Belarusian -- who won the Australian Open for the second time earlier this year -- and Kuznetsova had given her confidence a massive boost.
"This is the first tournament that I've been able to really keep up my intensity and keep up my focus. I think I played two good matches," she told reporters.
"For me, just personally, it's really important to see that I can still beat the players on the top level, two past Grand Slam champions.
"It's just a big boost for my confidence, no matter what happens now in the future."
Elsewhere, eighth seed Jelena Jankovic of Serbia booked her place in the last 16 with a 6-3, 5-7, 6-3 victory over Kazakhstan's Galina Voskoboeva, and Slovenia's Polona Hercog defeated 14th seed Ana Ivanovic of Serbia 6-4, 6-4.
In the men's tournament, eighth-seed American John Isner beat Spaniard Roberto Bautista Agut 6-2, 6-7, 6-4, and Australia's former world number one Lleyton Hewitt suffered a crushing 6-0, 6-2 defeat at the hands of Fabio Fognini.
The Italian will face second seed Rafael Nadal in the quarter-finals if the Spaniard overcomes Germany's Philipp Kohlschreiber in his Wednesday evening match.
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