In Rodong Sinmun, the official newspaper of Kim Jong-un's Central Committee of the Worker's Party of Korea, the lead editorial strikes a conciliatory tone. Four of the nation's six nuclear tests have taken place since Kim took power in 2011.
The outcome may determine the fate of North Korea's nuclear programme.
Nevertheless, analysts say that a long diplomatic process will be needed to achieve peace on the peninsula, and Trump's tweets could get in the way of that.
Administration cites "fast moving" talks with North Korea ahead of historic meeting between the leaders.
"The circus-like atmosphere might be amusing if the stakes weren't so high", wrote U.S. campaigning group Human Rights Watch.
In 2014, Trump tweeted dismissively about the possibility that he and Rodman would someday travel to North Korea together.
Aware that the eyes of the world were on a moment many people never expected to see, Kim said many of those watching would think it was a scene from a "science fiction movie".
Retired US basketball star Dennis Rodman arrives in Singapore.
Rodman also told CNN that a White House staffer called the former Celebrity Apprentice contestant to tell him the president was proud of him. He says, "We're going to have a great discussion and a terrific relationship".
Trump and Kim met at the resort island of Sentosa along with their respective translators. Plus, there also remains the question of the rule of the Kim family. Thanking the Singaporean leader for organizing the summit, Trump expressed the United States' continued commitment to engage the region and his support for Singapore's Chairmanship of ASEAN.
The local The Straits Times posted a photo of Kim posing with Singapore's Foreign Minister Vivian Balakrishnan at the nature park.
On Monday morning, U.S. President Donald Trump had a meeting with Lee, followed by a working luncheon hosted by the Singaporean leader. As a rule, they would only report on the leader's movements after the event.
While addressing a press conference held at JW Marriott Hotel in Singapore on Monday, US Secretary of State Mike Pompeo said that the US could offer North Korea "unique" security in return for a complete denuclearisation.
"We're prepared to take actions that will provide them sufficient certainty that they can be comfortable that denuclearization isn't something that ends badly for them", Pompeo said.
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