MELBOURNE, Australia — Top-ranked Serena Williams fended off three set points before going on a 10-game roll to beat Vera Zvonareva 7-5, 6-0 and move into the third round of the Australian Open.

Men’s No. 1 Novak Djokovic had an easier run, spending a minute less than Williams on Rod Laver Arena in his 84-minute, 6-0, 6-1, 6-4 win over No. 88-ranked Andrey Kuznetsov on Thursday.

Defending champion Stan Wawrinka, who ended four-time champion Djokovic’s 25-match winning streak at Melbourne Park in the quarterfinals last year, advanced to the third round for the seventh consecutive year.