Polish women’s third seed Agnieszka Radwanska, who has never gotten beyond the round-of-16, eased past Silvia Soler-Espinosa 6-1, 6-2 and next faces another Spaniard, Maria Teresa Torro-Flor.
Chinese fifth seed Li Na also reached the second round with a 6-2, 6-2 win over Olga Govortsova of Belarus. Li next plays Sofia Arvidsson of Sweden.
Laura Robson, the first British woman to be seeded at a major for 26 years, won nine games in succession to beat Spanish veteran Lourdes Dominguez Lino 7-5, 6-0.
The 30th seed next faces France’s Caroline Garcia.
There was also an emotional win for Russia’s Alisa Kleybanova, with the former world No. 20 beating Monica Puig of Puerto Rico 6-4, 3-6, 7-5 in her first match at a major since beating cancer.