Defending champion Novak Djokovic progressed safely into the fourth round at Indian Wells with a 6-2 6-3 win over South African Kevin Anderson.
The world number one, who beat Spain's Rafael Nadal in last year's final, took both his break-point opportunities in a tight first set.
He broke once in the second to secure victory in one hour and 37 minutes.
"It was a very close match. The scoreline does not reflect how close it was," said the 24-year-old.
Djokovic is aiming for a third career title at the BNP Paribas Open.
"This is one of my most successful tournaments. I love coming back to the desert," added the Serb.
Andy Roddick's poor run against top-10 ranked players continued when he was beaten 6-3 4-6 6-2 by seventh seed
It was the American's 13th defeat in 14 games against the better players in the world.
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“I've known Sophia Arvidsson since I was 12 or 13 and we know each other's games so well. I'm so happy with this win”
knocked out Mardy Fish 6-3 6-4, while American 11th seed
beat Argentina's Juan Monaco 7-5 7-5 and 13th seed
, from France, saw off Switzerland's
In the women's third round, Russia's
pulled off a shock with a 6-1 6-7 (6-8) 7-6 (7-5) win over Australian sixth seed Sam Stosur.
Denmark's defending champion
came from one set down to beat Sweden's Sofia Arvidsson 3-6 7-5 6-2 and set up a fourth-round match against
who beat Ksenia Pervak 6-7 (8-10) 6-3 6-2.
Wozniacki said: "I've known Sophia since I was 12 or 13 and we know each other's games so well.
"She just came out from a win in Memphis and I knew she was on fire. I'm so happy with this win."
Number two seed
eased past Simona Halep of Romania 6-3 6-4 in their first meeting but
became the eighth player to pull out after contracting the virus illness that is sweeping the Coachella Valley.
Italian Schiavone retired after losing the first set 6-2 to
of the Czech Republic.
needed only 71 minutes to dispatch South Africa's Chanelle Scheepers 6-2 6-0, while there were also wins for
Maria Kirilenko and