"People are going to be very impressed and people are going to be very happy and we are going to take care of a very unsafe problem for the world", Trump said. "If diplomacy does not move in the right direction, those measures will increase", he said.
Trump, after the first-ever meeting between US and North Korean leaders, had been scheduled to fly back to Washington on Wednesday morning after spending Tuesday with Kim in Singapore.
Pompeo is briefing reporters in Singapore ahead of President Donald Trump's summit Tuesday with North Korean leader Kim Jong Un.
Separately, UN Secretary General Antonio Guterres on Monday said the UN would assist both parties in the talks, including verifying North Korean denuclearisation, if asked.
Trump and Kim planned to meet one on one, joined only by translators, for up to two hours before admitting their respective advisers, a US official said.
Lobster bisque, beef tenderloin and ice cream were on the lunch menu, and there was also an early birthday cake for Mr Trump, who turns 72 on Thursday.
"I think the minimum would be a relationship".
A US official, speaking on condition of anonymity, said Monday's meeting appeared aimed at making 11th-hour progress ahead of the summit since Sung Kim's earlier talks did little to narrow a gap between the two sides on the definition of denuclearisation or win agreement on tangible commitments from Pyongyang toward dismantling its nuclear arsenal.
Trump, too, has recently sought to minimize expectations, saying additional meetings may be necessary.
Trump on Monday forecast a "nice" outcome, while Kim spent the day out of view.
After a handshake, they were soon smiling and holding each other by the arm, before Trump guided Kim to the library where they held a meeting with only their interpreters.
Pompeo met Kim during two visits to North Korea in the lead-up to Tuesday's summit. Pyongyang is demanding as yet unspecified security guarantees and the end of what it calls a "hostile policy" towards it, and has not made clear what concessions it is offering over the nuclear arsenal it calls its "treasured sword" to defend against a United States invasion.
Discussions would focus on "the issue of building a permanent and durable peace-keeping mechanism on the Korean peninsula, the issue of realising the denuclearisation of the Korean peninsula and other issues of mutual concern", KCNA said.
Upon his arrival, President Trump first met with the Prime Minister of Singapore, who is hosting the summit.
Trump is all set to depart for Singapore where he is scheduled to meet with Kim on Tuesday.
A working lunch is on the agenda after this meeting.
Secretary of State Mike Pompeo said Monday that the new, "unique" security assurances would show the isolated regime that giving up its weapons "is not something that ends badly for them".
Trump says he thinks "things can work out very nicely" with North Korea on the eve of his historic summit with Kim Jong-un.
Moon spokesman Kim Eui-kyeom also said Monday that Moon has no plans yet to speak with Trump after the meeting.
But in the lead up to the historic summit, several analysts have pointed out that the Trump administration doesn't have a clear plan for how it will approach the discussions, and that both sides of the negotiating table have very different ideas about what "denuclearization" means.
Trump arrived in Singapore from the 44th G7 Summit, which took place June 8th to 9th in La Malbaie, Quebec.
China has played a role in North Korea's isolation after agreeing to worldwide sanctions put in force by the United Nations, and has also been seen as keen to keep itself as the major diplomatic force influencing Pyongyang.
The two clasped hands for a long while as they posed for photos in front of a row of USA and North Korean flags. North Korea has said it is willing to commit to denuclearisation, but that term is open to interpretation.
The Canadian leader pulled a "sophomoric political stunt for domestic consumption", Kudlow said, that amounted to "a betrayal". Trump, during the G7 summit , antagonized leaders of G7 nations. "I may have had a much different attitude".
The poisoning of former Russian double agent Sergei Skripal and his daughter in Britain further strained the EU-Russia ties. He suggested the stadiums could add cafes and shopping malls to boost their profitability once the competition is over.
Earlier, most of the original 11 rebels on the meaningful vote amendment had indicated that they would stand firm. It is thought that both the government and the Remainer group of Tory MPs consider the outcome to be a success.
Kim Jong Un has reportedly taken his own toilet to the Singapore summit where he is due to have nuclear talks with Donald Trump . Lee has said the summit would cost Singapore about S$20 million ($15 million), more than half of which would go on security.
Ms Serena Lim, 58, who is in the property industry, said: "It's an honour that Singapore was chosen to host the summit". This will be the first summit of its kind between a leader of North Korea and a sitting USA president.
He could be seen speeding through Singapore on Sunday in a black limousine adorned with large North Korean flags. He is expected to have a meet and greet session with USA embassy staff after his engagement at the Istana.
It has been reported though that Fox execs are still leaning towards Disney and have asked their shareholders to do the same. Comcast is also offering a breakup fee of $2.5 billion if the deal is not consummated, matching the offer from Disney.
He struggled to take Whittaker down in their first fight, however, and the Australian is not expecting much to change. Chris Amann, and his big fight against Mike Jackson which is set to take place at UFC 225 . "I just don't see it".
Vladimir Putin invites Kim Jong Un to Russia in September
But behind closed doors, Pompeo faces tougher questions from American allies about some of Trump's public declarations, he said. Pomepo said regional powers remained "committed to the complete, verifiable, and irreversible denuclearization of North Korea".
MAN Faces His Greatest Enemies In New E3 2018 Trailer
It was only about a 20-minute demo, but we definitely got better at moving from point A to point B by the time things concluded. Although the wait is nearly over, we now have a new trailer that is sure to blow everyone's minds.
The Internet Reacts To Bethesda's E3 Conference
Players will be able to join friend's parties and progress will follow them, or they can choose to go it alone and play solo. Bethesda's new Fallout 76 game will be absolutely massive, but no new details on its reported online mode were revealed.
'One-time shot' for peace with North Korea
But if not, "at least we'll have met each other, we'll have seen each other; hopefully, we'll have liked each other". Global relations researcher Shawn Ho said hosting high-profile events could open Singapore up to negative publicity.
New Amazon Fire TV Cube Will Take on Apple TV 4K, HomePod
You can do things like ask for the weather, check your calendar, and get your daily briefing all thanks to the streaming box. Plus, for a limited time, customers can pre-order Fire TV Cube and Amazon Cloud Cam together for $199.98 - a $40 savings.