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.
Real Madrid captain Carvajal faces knee surgery setback
Real Madrid captain Dani Carvajal will undergo surgery on his right knee, dealing another blow to the defender who has battled persistent injury problems over the past year.
Juventus sack coach Tudor after eight-match winless run
Juventus have sacked head coach Igor Tudor after failing to win their last eight matches in all competitions, the Serie A club said on Monday.
India's Iyer taken to hospital after fielding injury
India batter Shreyas Iyer suffered a lacerated spleen and was admitted to hospital in Sydney after falling awkwardly while taking catch in the third one-day international against Australia, the country's cricket board (BCCI) said on Monday.
Norris unfazed by crowd boos after winning in Mexico
McLaren's Lando Norris shrugged off boos from the Mexican crowd on Sunday after the Briton seized back the Formula One championship lead from teammate Oscar Piastri at the Mexico City Grand Prix with a dominant win from pole position.
Mbappe and Bellingham strike as Real Madrid edge Barcelona 2-1 in fiery El Clasico
Goals from Kylian Mbappe and Jude Bellingham earned Real Madrid a 2-1 victory over Barcelona in a spiky El Clasico on Sunday that snapped a four-match losing streak against their rivals and extended their lead atop the LaLiga standings.
10:00am - 1:00pm
1:00pm - 4:00pm
