Second-seeded Dominika Cibulkova struggled but won a third-set tiebreaker Monday, avoiding a first-round upset at the Topshelf Open in the Netherlands.
Third-seeded Alize Cornet and No. 4 Julia Goerges each logged a first-round victory in rainy conditions Tuesday at the first Nuremberg Versicherungscup.
Third-seeded Klara Zakopalova advanced but No. 8 Laura Robson suffered an early upset Monday in the opening round of the inaugural Katowice Open.
Former Miami champion Svetlana Kuznetsova of Russia moved on to the second round Wednesday with a straight-set victory at the Sony Open.
Second-seeded Russian Maria Kirilenko won but top-seeded Israeli Shahar Peer and third-seeded Slovakian Dominika Cibulkova lost Tuesday at the Barcelona KIA.
American Serena Williams advanced in the second round Tuesday at the $1.34 million Family Circle Cup.
Second-seeded Gisela Dulko advanced to the second round Monday at the inaugural Cachantun Cup tennis tournament in Chile.
Top-seeded Francesca Schiavone had to battle past Agnes Szavay Friday to make the semifinals of the $175,000 Gastein Ladies tennis tournament in Austria.
Top-seeded Maria Sharapova dropped just three games Thursday in cruising into the third round of the Australian Open.
Israeli Anna Smashnova and Spaniard Lourdes Dominguez Lino advanced Saturday to the final at the Budapest Grand Prix with straight set semifinal wins.