Trump says that his one-on-one meeting with North Korean leader Kim Jong Un was "very, very good" and that the two have an "excellent relationship".
Kim was heard telling Trump through a translator: "I think the entire world is watching this moment".
"President Trumpcommitted to provide security guarantees to [North Korea], and Chairman Kim Jong Un reaffirmed his firm and unwavering commitment to the complete denuclearization of the Korean peninsula", the statement said.
"I'm very optimistic that we will have a successful outcome from our meetings tomorrow", he said.
"It's gonna be a great discussion and I think tremendous success", Trump said. "I have no doubt".
Mr Trump's comments about Mr Kim have drawn ire from online commentators, who point to the North Korean leader's record on human rights and his people's plight.
The pair made brief remarks as they sat together before the world's media as the historic summit got under way, with the United States leader insisting "we will have a terrific relationship I have no doubt".
At a press conference earlier on Sunday, Loong said that the summit cost approximately $20 million, which is a price the Singapore was "willing to pay". Mr Trump had said on Saturday he would know within a minute of meeting Mr Kim whether he would reach a deal.
The president reminded critics that since he first agreed to meet Kim Jong-un, North Korea stopped testing nuclear weapons, paused missile launches, and returned American hostages to the United States.
Rodman also goes back years with Trump and appeared on his "Celebrity Apprentice" show.
It is the first time a sitting USA president has ever met a North Korean leader.
While he wasn't an official part of the US delegation or involved the meeting, Rodman, who has formed an unlikely relationship with the murderous North Korean dictator, was in Singapore to show his support for the meeting. "Probably, all the attention of our people is on Singapore". "I too, got little sleep last night", Moon told his cabinet in Seoul as the summit began in Singapore. Trump himself was cagey at first, hinting to reporters that negotiations would be ongoing when it came to denuclearization.
Tuesday's statement, notably, contains no references to complete, verifiable, and irreversible denuclearization (CVID) - long a key USA demand going into talks with Pyongyang.
His earlier visits to North Korea included a basketball game he organised, an event chronicled in the documentary film "Big Bang in Pyongyang", which featured Rodman singing "Happy Birthday" to Kim, as well as scenes of inebriated and erratic behaviour by the basketball Hall of Famer.
But experts have expressed doubt that Pyongyang would abandon its hard-won nuclear gains after demonstrating rapid progress in their program with a series of missile and nuclear tests previous year.
A spokeswoman for USA military forces in Korea said they had not received any direction to cease joint military drills. As North Korea's closest ally and largest trading partner, China occupies a significant role in North Korean affairs.
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Moreover, for the first time, Ivy and David even did not see each other, due to the fact that their communication was online. It should be noticed that these two people began relations just as friends, as they lived in different countries.
Nevertheless, Saturday's events only reinforced the chancellor's commitment to forging a stronger, more unified European Union. American National Security Advisor John Bolton, however, offered a different interpretation of the photograph.
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