Thiem is through to the semifinals at Indian Wells for the first time, having reached the quarters once before in 2017.
Meanwhile in the men's Association of Tennis Professionals Masters 1000 event, Frenchman Gael Monfils was forced to withdraw from his quarter-final against Dominic Thiem after suffering an Achilles tendon injury.
Milos Raonic dispatched lucky loser Miomir Kecmanovic to reach the semi-finals of the BNP Paribas Open in Indian Wells on Thursday. This will of course cast doubts on his inclusion in the main draw of the Miami masters.
Canada's Milos Raonic is heading to the semifinals at the BNP Paribas Open. Speaking to reporters after her win, Kerber said, "Venus is just such a great player and an awesome champion".
But the 19-year-old Serbian, who had one tour-level win before Indian Wells, couldn't convert any of his three break points, including two at 3-4 in the second set.
"I'm not going to the court with any expectation", Bencic said. He put only 55 percent of his first serves in play.More news: Vietnam asks Malaysia to ensure fair trial for Doan Thi Huong
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Belinda Bencic beat fifth-seeded Karolina Pliskova 6-3, 4-6, 6-3 to reach the semis, ensuring her return to the top 20 in the rankings. "In the first set I was moving everywhere and when I have the chances to move her".
The hard-serving Canadian saved all three break points against him on Thursday and converted on two of his three break-point opportunities. She broke Williams in the match's longest game that went to deuce five times when Williams' forehand went wide.
With their first ever meeting going the distance, Bencic took the decider to extend her winning run to 12 matches and back up her upset of top seed and defending champion Naomi Osaka in the fourth round.
"When you're confident, you can really just trust your instincts and you don't have to think about it at all".
Bencic won her third career title at Dubai last month and her first since 2015.
The 18-year-old from Mississauga, Ont., dug deep to upset No. 6 seed Elina Svitolina of Ukraine 6-3, 2-6, 6-4 in a thrilling semifinal on Friday night.