US Open champion Samantha Stosur of Australia was the first woman to make the Wimbledon second round on Monday, cruising past Spain's Carla Suarez Navarro.
China's Li Na took the express route into the second round at Wimbledon with an emphatic 6-3, 6-1 victory over Ksenia Pervak of Kazakhstan on Monday.
Li next faces either Romania's Sorana Cirstea or France's Pauline Parmentier for a place in the last 32.
Fifth seed Stosur eased to a 6-1, 6-3 win over the 40th-ranked Spaniard and goes on to face either Arantxa Rus of the Netherlands or Japanese lucky loser Misaki Doi.
Stosur, who was a semi-finalist at the French Open earlier this month, has never got beyond the third round at the All England Club.
Monday's win also ended the 28-year-old's run of first round losses at Wimbledon in 2010 and 2011.