The World number one beat Croatian Donna Vekic 6-3 4-6 7-6 (7-4) at the Porsche Tennis Grand Prix.
Osaka will now face Anett Kontaveit, who was able to progress after Victoria Azarenka retired.
Petra Kvitova will face Kiki Bertens in the other semi-final.
Rohit and Kohli bid likely farewell to Australia as winners
Rohit Sharma hit a century and Virat Kohli a bright 74 to drive India to a nine-wicket win in the third one-day international on Saturday, sending fans home happy after what are likely to be their final appearances in Australia in their country's colours.
Al Wahda defeats Al Dhafra, heads to quarter-finals of UAE President's Cup
Al Wahda has qualified for the quarter-finals of the UAE President's Cup after defeating Al Dhafra with a score of 3-1 on Friday at the Al Nahyan Stadium.
Bencic battles past Kenin to set up Noskova final in Tokyo
Belinda Bencic reached her second Pan Pacific Open final a decade after her first with a hard-fought 7-6(5) 3-6 6-2 win over American Sofia Kenin on Saturday, booking a title clash with Linda Noskova, who advanced via a walkover.
Lionel Messi tallies twice as Inter Miami take opener vs. Nashville
Lionel Messi scored twice and added an assist to lift Inter Miami to a 3-1 victory over Nashville SC in the opening game of their first-round MLS playoff series on Friday in Fort Lauderdale, Fla.
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