She featured in an exhibition match in Dubai and lost to Ostapenko and also played doubles with sister Venus in the Fed Cup. As she reminded a journalist at Wimbledon in 2016, when asked if she would go down as one of the greatest female athletes of all time: "I prefer the words "one of the greatest athletes of all time".
"(I was) just trying to work the point, do what it takes to win the point.
Venus in her new conference, talked about where Serena's game is right now coming back from having a baby: "She's playing really well and just honing her game. It's just afterwards I don't like it as much". She takes a career head-to-head record over Venus of 17-11 into their third-round clash.More news: Serena Williams Loses Her First Match To Older Sister
"Obviously I wish it was anybody else in the draw, literally anybody, but that's okay", Serena said.
"I'm getting there", Serena said of play in her return on the court.
Serena Williams was ragged at times but used her power to wear down the Dutch 29th seed in Indian Wells, California.
Other women advancing to the third round on Saturday included defending champion Elena Vesnina who beat American CiCi Bellis 2-6, 6-1, 6-1.
Second seed Caroline Wozniacki had an easy time with qualifer Lara Arruabarrena 6-4, 6-1.More news: Bracketology 2018: Davidson wins the A 10 title, ruining someone's NCAA dreams
Roger Federer led Federico Delbonis of Argentina 6-3, 2-2 when their match was delayed by a heavy drizzle 56 minutes after it began.
Saturday night rain caused the suspension of one women's singles match and the postponement of another.
Fifth-seeded Dominic Thiem fired 10 aces to beat Stefanos Tsitsipas of Greece 6-2, 3-6, 6-3; No. 7 Kevin Anderson defeated Evgeny Donskoy 7-5, 6-4; and No. 12 Tomas Berdych rolled past German Maximilian Marterer 6-1, 6-4 in just over an hour.
The most surprising result of the day in the men's was third seed Bulgarian Grigor Dimitrov's 6-7, 6-4, 6-3 defeat to unseeded Spanish veteran Fernando Verdasco in this ATP World Tour Masters 1000 event.More news: Militants 'Capture District Headquarters' In Afghan Province
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