Cheers in South Korea and a one-page "extra" edition of a Japanese newspaper have greeted the unprecedented summit between Donald Trump and Kim Jong-un.
Trump became the first sitting American president to meet a North Korean leader on Tuesday when the two shook hands firmly at a resort hotel in Singapore.
The leaders of South Korea, Japan and Malaysia were among those wishing for a successful summit.
Australian Foreign Minister Julie Bishop said she had been told by Singapore Foreign Minister Vivian Balakrishnan the two leaders were upbeat and positive.
"So let's hope the summit is a success, and we do see real concrete genuine steps towards peace on the Korean peninsula," she told the Seven Network.
South Koreans at a train station in Seoul cheered and applauded as televisions screens broadcast the handshake live.
Japan's Yomiuri newspaper printed a special edition in both Japanese and English that was distributed for free in Tokyo one hour after the meeting began.
Many across the region have welcomed a flurry of diplomacy in recent months, but remain cautious about actual results.
South Korean President Moon Jae-in says he "hardly slept" in anticipation of the summit.
Moon and other officials watched the live broadcast of the summit before a South Korean Cabinet meeting in his presidential office.
Moon smiled and nodded as he watched Trump and Kim meet.
Moon has met Kim twice in recent months and helped arrange the US-North Korean summit.
Moon said he "ardently aspires" for the success of the summit and hopes it brings complete denuclearisation and peace to the Korean Peninsula.
Fighting in the Korean War ended with an armistice in July 1953.
That armistice has yet to be replaced with a peace treaty, leaving the peninsula in a technical state of war.