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Wozniacki only entered the tournament Saturday when a scheduled trip to Haiti with boyfriend Rory McIlroy was postponed. The 2011 Family Circle champion showed little rust from her last-minute decision to play. She broke Soler-Espinosa twice to win the final five games of the opening set.
Wozniacki continued to use her big serves - she took a 3-1 lead in the second set with a thumping ace - to keep Soler-Espinosa on the defensive and wrapped up the match in 59 minutes.
"I felt like I really served well and returned well today," she said. "I'm pleased with that."
The Dane had reached the finals of the Indian Wells tournament, but was knocked out of her last event, Sony Open in Key Biscayne, in the round of 32. She acknowledged it's generally hard to transition smoothly from the faster hardcourt surfaces to the clay at the Family Circle's Billie Jean King Court.
Past champions Samantha Stosur and Venus Williams were set to play in separate matches later. World No 1 Serena Williams won her opening match here on Tuesday.
In other early matches, 2009 Family Circle champion Sabine Lisicki fell to American qualifier Mallory Burdette in three sets and No 10 Julia Goerges ousted Olga Govortsova in straight sets.
Results on Wednesday from the third day of the $795 000 WTA Family Circle Cup:
Second round
Madison Keys (USA) bt Grace Min (USA) 6-4, 6-3
Eugenie Bouchard (CAN) bt Laura Robson (GBR x16) 6-4, 3-6, 6-1
Julia Goerges (GER x10) bt Olga Govortsova (BLR) 6-2, 0-6, 6-3
Caroline Wozniacki (DEN x2) bt Silvia Soler-Espinosa (ESP) 6-1, 6-1
Mallory Burdette (USA) bt Sabine Lisicki (GER x15) 3-6, 7-6 (7/5), 7-5
Samantha Stosur (AUS x3) bt Marina Erakovic (NZL) 6-1, 6-2
Andrea Petkovic (GER) bt Vania King (USA) 7-5, 6-4
