South Korea reported more than 800 new coronavirus cases on Saturday, the most of any country caught up in the epidemic, as China said it crossed a key threshold in its fight against the deadly disease.

Health officials in the state of Washington reported the first coronavirus death in the U.S. on Saturday, and Australia on Sunday reported its first confirmed death—a man in his 70s who had returned from the Diamond Princess cruise ship in Japan.

The virus has quickly spread to disparate places around the world, increasingly with no clear links to China, where the outbreak began. Public-health officials say the illness is now all but impossible to stop, in part because many mild cases appear to be going undetected.

China touted figures showing the number of people in the country who have recovered from the virus-borne disease now exceeds the number of those confirmed to still have it. The official People’s Daily newspaper put the number of patients who have been cured and discharged from hospitals at 39,002, exceeding the 37,414 people still confirmed to have been infected by the new coronavirus.

The claim shows how China’s government is seeking to position itself as having effectively stopped the spread of the virus internally while being able to assist other countries struggling with their own outbreaks.