( CNN ) -- The Williams sisters continued their march towards more Olympic success with three victories between them in London on Monday . Fourth seed Serena romped into the third round of the women 's singles with a 6-2 6-3 win over Poland 's Ursula Radwanska , whose older sister Agnieszka she beat to win her fifth Wimbledon title earlier this month . The American will next face Russian 13th seed Vera Zvonareva , who knocked out 2010 French Open champion Francesca Schiavone . Zvonareva , the bronze medalist at Beijing four years ago , triumphed 6-3 6-3 . `` It was tough conditions , a little windy . I 'm glad I was able to pull through , '' said Williams , who faces a possible quarterfinal against former world No . 1 Caroline Wozniacki or Slovakia 's Daniela Hantuchova as she seeks the only major title missing from her collection . Her older sibling Venus , who is in the same half of the draw , bounced back from her early exits at the French Open and Wimbledon by thrashing Roland Garros runnerup Sara Errani 6-3 6-1 in her delayed first-round match . `` Another gold medal would be amazing , '' said the 32-year-old , who won the singles title in 2000 along with the doubles , which she and Serena won again in 2008 . `` I ca n't even imagine the feeling , I think my head would be too big and no one would even like me anymore . I 've got to get there first , I have two chances and I 'll go for it . '' Venus will next play Canada 's Aleksandra Wozniak , who progressed into the second round by winning 6-2 6-1 against Marina Erakovic of New Zealand . If she wins that game , Williams will play either German seventh seed Angelique Kerber or Hungary 's Timea Babos for a place in the quarterfinals . That could mean a last-eight clash with world No . 1 Victoria Azarenka , who survived a second-set scare to beat 79th-ranked Romanian Irina-Camelia Begu 6-1 3-6 6-1 in her opening match on Centre Court . The Belorussian , who lost to Serena in the Wimbledon semifinals , will next face Maria Jose Martinez Sanchez of Spain . Serena and Venus also won their opening doubles match , beating Romania 's Sorana Cirstea and Simona Halep 6-3 6-2 to set up a clash with Kerber and Sabine Lisicki . Lisicki also moved into round two of the singles , coming from behind to beat Tunisian teen Ons Jabeur -- ranked 297th -- and securing a match against Kazakhstan 's Yaroslava Shvedova . The winner of that tie will likely face world No . 3 Maria Sharapova , who next plays Britain 's Laura Robson . Former world No . 1s Kim Clijsters and Ana Ivanovic will meet in round three , while Czech sixth seed Petra Kvitova -- whose Wimbledon defense was ended by Serena Williams in the quarterfinals -- will take on Italy 's Flavia Pennetta .
Serena and Venus Williams win their singles and doubles matches at the London International at Wimbledon . Americans could potentially meet in the singles semifinals of the grass - court season . World No . 1 Victoria Azarenka wins her singles match and could play Williams in the semifinals . Kim Warwick , Ana ##ity and Petra Kvitova advance into round three of singles competition .