Defending champion Victoria Azarenka needed less than an hour to secure her place in the third round of the Australian Open.
The No 1 seed was no match for Eleni Daniilidou as she raced to a 6-1 6-0 victory on Rod Laver Arena in 55 minutes.
And having struggled in her first-round match against Monica Niculescu, Azarenka was pleased with her display, saying: "Today was much better.
"I am back in competitive mode, 100%, and was really focused. That was the best part of the game for me."
Azarenka is joined in the third round by Serena Williams after the No 3 seed thumped Garbine Muguruza Blanco 6-2 6-0 - with 10th-ranked Caroline Wozniacki defeating Donna Vekic 6-1 6-4.
The 14th-ranked Maria Kirilenko and No 16 seed Roberta Vinci also progressed with straight set wins in Melbourne.
Kirilenko recovered from a slow start to beat Shuai Peng 7-5 6-2, while Vinci dominated Akgul Amanmuradova en route to a 6-3 6-2 success.
No 20 seed Yanina Wickmayer was made to work before overcoming Jana Cepelova 7-6 (10-8) 7-5, 26th-seeded Hsieh Su-Wei crashed out 6-2 6-1 to Svetlana Kuznetsova.
The 21st seed Varvara Lepchenko also bowed out early after a 6-4 6-2 loss to Elena Vesnina.