President Moon Jae-in on Monday acknowledged that solving the North Korean nuclear problem could take a couple of years.
Trump and North Korea's Kim Jong Un concluded their extraordinary meeting by signing a document in which Trump pledged "security guarantees" to the North and Kim recommitted to the "complete denuclearization of the Korean Peninsula".
As discussions follow after the summit, they could arrange meetings among the Koreas, the us and possibly China to discuss the matter.
In the domestic front, Trump is likely to tout his diplomatic engagement with North Korea as proof he is working to protect the United States as part of his "America First" agenda, although the summit did not appear to yield specific safeguards against Pyongyang's long-range nuclear missiles.
It explained that the meeting had 'great significance in overcoming decades of tensions and hostilities between the two countries and for the opening up of a new future'.
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Overall, the post-summit statements from Trump and Kim are "bold" yet lack detail, reports the Times.
The summit is not expected to last beyond Tuesday, with both leaders set to leave Singapore shortly after concluding their meetings.
U.S. President Donald Trump and North Korean leader Kim Jong Un walk after lunch at the Capella Hotel on Sentosa island in Singapore June 12, 2018.
"USFK has received no updated guidance on execution or cessation of training exercises - to include this fall's schedule Ulchi Freedom Guardian", US Forces in Korea lieutenant-colonel Jennifer Lovett said in a statement.
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But a government official said they had just agreed to open talks on the basis of the rebel amendment. She insisted: "We must think about the message Parliament will send to the European Union this week".
While Washington has maintained that Pyongyang should achieve complete, verifiable and irreversible denuclearization (CVID) this was not included in the joint agreement between leaders at the summit. Trump described the destruction of the site as a "big thing".
Regarding Trump's surprise announcement that he would put a stop to regular joint ROK-U.S. military drills, Nam said the issue required discussion between the two countries.
"Now we can have hope it will soon end", Trump said.
"Without support from China, it's really hard for Washington and Pyongyang to press ahead on denuclearisation and the peace process", Cheng said.
"But we believe it is necessary to come up with various measures to improve dialogue more smoothly", the Blue House said. Leaving dark days of war and conflict behind, we will write a new chapter of peace and cooperation.
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Trump last month pulled the United States out of a 2015 nuclear deal with Iran, calling it deeply flawed and reimposing unilateral sanctions.
So, this is just the beginning of what is going to be a long and complicated road with many detours and bumps, no doubt and we will see what happens as it is going forward.