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.
Troubled Marseille lose fifth straight as PSG win
Captain Marquinhos has snatched the winner as champions Paris St Germain won 2-1 at troubled Olympique de Marseille in Ligue 1 on Sunday, condemning the hosts to a fifth successive loss and a spot in the relegation zone.
Anders Dreyer’s brace earns San Diego road draw with Inter Miami
Anders Dreyer has scored his 10th and 11th goals on either side of halftime and visiting San Diego FC earned a 2-2 draw against Lionel Messi and defending MLS Cup champions Inter Miami on Sunday night.
Man City beat Sunderland in thriller to maintain 100% start
Manchester City head into the first international break three points clear at the top of the Premier League after Antoine Semenyo's double sealed an enthralling 5-3 home win over Sunderland, for whom Brian Brobbey grabbed a hat-trick, on Sunday.
Spaun uses Presidents Cup snub to win BMW PGA Championship
JJ Spaun had a message for US Presidents Cup captain Brandt Snedeker, and he delivered it with his clubs instead of his phone, closing with a hot finish to win the BMW PGA Championship on Sunday in Surrey, England.
Atletico ride derby storm to beat 10-man Real Madrid 2-1
Atletico Madrid beat arch-rivals Real Madrid 2-1 in LaLiga on Sunday as second-half goals from Alejandro Grimaldo and Jonathan David settled a tense derby at a packed Estadio Metropolitano.
Sheikh Ahmed bin Rashid Al Maktoum has passed away on Monday, with the Court of His Highness Sheikh Mohammed bin Rashid Al Maktoum, Vice President and Prime Minister of the UAE and Ruler of Dubai, declaring a 10-day mourning in the Emirate.
Sheikh Abdullah bin Zayed Al Nahyan, Deputy Prime Minister and Minister of Foreign Affairs, will lead the UAE delegation at the 81st session of the United Nations General Assembly (UNGA81) in New York.
The UAE, working with Paraguay, has sent humanitarian supplies to communities affected by the earthquake in Colombia as part of a $10 million aid package.
