"I'm glad nobody told me before, I would have been a little bit nervous," Williams said. "It was a good match, she's a quality player."
Two other former world number ones did not fare so well.
Denmark's Caroline Wozniacki was beaten 1-6 6-4 7-6 (6) by Anna Karolina Schmiedlova after blowing a 6-1 4-1 lead in a marathon match that lasted almost three hours.
"I'm very, very happy and very, very tired right now," said Slovak Schmiedlova.
Belarussian Victoria Azarenka was another early casualty, retiring from her match with Britain's Johanna Konta because of a leg injury while trailing 6-4 1-0.
(Writing by Julian Linden in Singapore; Editing by Tony Jimenez)
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