SAN DIEGO (California) (Reuters) Former world number one Dinara Safina ended a six match losing streak by beating Alona Bondarenko 6-1 7-6 in the first round of the San Diego Open on Monday. Safina was joined in the second round by another Russian, Alisa Kleybanova, who overcame Aravane Rezai of France 6-2 5-7 6-3 to earn herself a match up against top seed Jelena Jankovic. Safina, who has slumped to number 35 in the rankings after struggling with a back injury this year, proved too strong for her Ukrainian opponent The Russian will play either fourth-seed Agnieszka Radwanska or Chanelle Scheepers in the next round. Safina came out on top in a number of crosscourt backhand rallies and kept her composure as Bondarenko frequently lost her temper, smacking her racket on the court time and time again. Bondarenko was able to push the Russian into a second set tiebreaker but Safina wrestled control quickly, ripping three crisp winners to win it 7-2 when Bondarenko produced a forehand error. I needed the win, Safina said. Last week I lost a tiebreaker and in practice I lost one because I was playing defensive. Tonight I said Im not going to play defensive and be aggressive and whatever happens, happens. Twelve months ago Safina held the number one position but her back injury and an alarming loss of confidence has contributed to her fall in the rankings . The 24-year-old was forced to pull out of Wimbledon when she re-aggravated her back injury which left her unable to walk for a week. I think my back is fine now, said Safina. Every morning when I wake up and it feels good I say thanks. Elsewhere, the 21-year-old Kleybanova produced an attacking third set to overcome her French opponent Rezai. In the second set I slowed down and went too far behind the court and gave her the opportunity to make more winners, Kleybanova said. I told myself in the third set that even if Im missing to take her rhythm away and stay on top of the court. I was able to turn it around. Zvonareva seeking perfection ahead of US Open Having scaled new heights with her first grand slam final appearance at Wimbledon, Vera Zvonareva is striving for the peak of perfection as she warms up for the U.S. Open. Im trying to improve every day and I wont be satisfied until Im playing perfect, but there are only two or three matches a year you can play perfect, Zvonareva told Reuters at the San Diego Open on Monday. Im trying to prepare myself this hard court season to get that perfect tennis out of myself. The Russian is seeded third behind Serbias Jelena Jankovic and Samantha Stosur of Australia at San Diego, where she has no chance of meeting her Wimbledon nemesis, the injured Serena Williams. Although pleased with her run at the All England Club, where she beat Jankovic and U.S. Open champion Kim Clijsters, the 6-3 6-2 defeat to Williams in the final still grates. It was a great experience for me, and Serena had been in those positions so many times before and she went on court as it was just another match for her, Zvonareva said. I should have taken it like it was just another first round, but I wanted to do too well and it was very difficult. I was rushing and making mistakes and not doing the right things at right times like I was in my previous matches. Reaching the Wimbledon doubles final with Elena Vesnina had also proved exhausting, said Zvonareva, and had left her a bit depleted for the singles final.