The American became only the second woman to claim 30 clay wins at WTA-1000 matches before turning 23
Coco Gauff made a strong start to the Italian Open, though she was still made to work hard to beat Tereza Valentova.
Madison Keys was one of three American top-10 seeds to advance in Melbourne, with Jessica Pegula and Amanda Anisimova also through.
Despite rain delays, Emma Raducanu got her season rolling with a straight-sets win over Camila Osorio at the Hobart International.
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