"My first two matches were pretty clean, but this match was more about fighting your way through it," Querrey said. "There were some frustrating moments against a tough opponent, but I found a way to win those tiebreaks and that's what tennis is about sometimes."
Querrey will face Christian Garin of Chile, a 6-3, 6-2 winner over Swiss qualifier Henri Laaksonen. Norway's Casper Ruud also advanced, spoiling Spaniard Marcel Granollers' 33rd birthday with a 6-1, 6-0 victory.
Rudd will face the winner of the suspended match between seventh-seeded Jordan Thompson of Australia and Colombian qualifier Daniel Elahi. They were tied at 3-3 in the third set when rain pushed the finish to Saturday. Galen won the first set 6-1, and Thompson the second 6-4.
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