Petra Kvitova had kind words for vanquished opponent Amanda Anisimova after she beat her in straight sets to reach the last eight.
Milos Raonic spoke about his tricky matches so far at the Australian Open and his upcoming clash with Alexander Zverev.
World No.1 Simona Halep took down Venus Williams in straight sets to progress to a last-16 encounter with Serena Williams.
Elise Mertens beat Margarita Gasparyan 6-1 7-5 in the second round while Madison Keys brushed aside Anastasia Potapova 6-3 6-4.
Elina Svitolina advanced to the Australian Open third round with a clinical straight sets victory over Viktoria Kuzmova.
Pavlyuchenkova earned a big win over 9th seed Bertens, while Sasnovich also stunned 20th seed Kontaveit.
Serena Williams brushed aside Tatjana Maria in straight sets at the Australian Open, while Madison Keys easily beat Destinee Aiava.
Maria Sharapova easily beat Harriet Dart at the Australian Open, and several other seeds also sailed through.
Federer and Bencic withstood a strong challenge from Zverev and Kerber to win the Hopman Cup for the second year in a row.
Donna Vekic continued her superb start to the year with a 6-2 6-0 demolition of Aliaksandra Sasnovich.
Maria Sharapova reflects on her new status as an outsider rather than a main contender for the major titles in tennis.
Elina Svitolina proved her doubters wrong with a spectacular unbeaten week at the 2018 WTA Finals that may turn out to be career-defining.
Kevin Anderson beat Kei Nishikori in straight sets in the Erste Bank Open final to win his first-ever ATP 500 title.
Sloane Stephens won her third consecutive match at the 2018 WTA Finals to finish top of the group and qualify for the semi-finals.
Sloane Stephens produced a stirring fightback in the final set to gain a vital win over Kiki Bertens that edges her closer to the last four.
Elina Svitolina moved into pole position in the White Group with an excellent win over Karolina Pliskova.
Daria Kasatkina overcame Britain's Johanna Konta in straight sets to reach the final in Moscow for the second consecutive year.
Belinda Bencic continued her impressive return to form by reaching the semi-finals in Luxembourg with a straight-sets win over Vera Lapko.
Johanna Konta produced one of her best performances of 2018 to beat Elise Mertens 6-3 7-5 and advance to the second round of the Kremlin Cup.
After booking her quarter-final place, Karolina Pliskova talked about the pressures of being a top player at a Grand Slam.