David Goffin offered stern opposition to Roger Federer, but the 20-time grand slam champion battled to victory at the Shanghai Masters.
Tianjin Open favourite Wang Qiang was no match for Heather Watson as the Briton secured a first win over a top-30 player since 2017.
Teenage American Coco Gauff has became the youngest WTA Tour quarter-finals since 2005 in Linz.
With four Shanghai Masters titles to his name, Novak Djokovic pushed on to the third round with victory over Denis Shapovalov in China.
A fifth Shanghai Masters title is on the agenda for Novak Djokovic, who eased past Denis Shapovalov to reach the last 16.
A potential Shanghai Masters double is on the agenda for Novak Djokovic, who faces playing two matches on Thursday.
Wang Yafan produced an impressive display to beat Tianjin Open defending champion Caroline Garcia in straight sets.
Maria Sakkari's withdrawal gave Coco Gauff another chance at the Linz Open and the lucky loser took full advantage.
Fabio Fognini came out on top against Andy Murray after the pair were embroiled in a heated altercation at the Shanghai Masters.
Andy Murray suffered defeat in an ill-tempered match with Fabio Fognini. Roger Federer, in contrast, eased through in Shanghai.