Even as Pompeo floated the apparent USA concessions, he took a hard line on what the Trump administration would demand in return, He said economic sanctions would remain in place "until North Korea completely and verifiably eliminates its weapons-of-mass-destruction programs".
"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 risky problem for the world", Mr Trump said.
Trump also said he would "absolutely" invite Kim to the White House. "We'll see how far we get, but I'm very optimistic that we'll have a successful outcome from (Tuesday's) meeting between these two leaders", he added.
Thank you very much, everybody.
Meeting with staged ceremony on a Singapore island, Trump and Kim came together for a summit that seemed just unthinkable months ago, clasping hands in front of a row of alternating US and North Korean flags, holding a one-on-one meeting, additional talks with advisers and a working lunch. Earlier two leaders met for a one-on-one meeting and then for delegation level talks as Kim described the summit as "a good prelude to peace". The summit took place at a resort hotel on Sentosa island, just off the Singapore mainland.
But, with cameras of the world's press trained on them, they displayed an initial atmosphere of bonhomie as they met on the veranda of the Capella, a refurbished 19th century British regimental officers' mess.
For his part, Kim hailed the "historic meeting" and said they "decided to leave the past behind".
Kim Jong Un was the first of the two leaders to arrive at the Capella, at roughly 8:55 a.m. local time, and Trump followed roughly five minutes later.
The two clasped hands for a while as long as they posed for photos in front of a row of US and North Korean flags. "Many people in the world will think of this as a scene from a fantasy.science fiction movie".
Trump Kim Summit
As the two leaders met, Singapore navy vessels, and air force Apache helicopters patrolled, while fighter jets and an Gulfstream 550 early warning aircraft circled.
After the meetings, the two teams and other senior officials met for a working lunch, where beef short ribs, sweet and sour pork and "Daegu Jormin", or Korean braised cod, were served for the main course, according to the menu. That was to be followed by dark chocolate tarts, pastries and vanilla ice cream for dessert.
Pompeo spoke as Choe Son Hui, North Korea's vice foreign minister, and Sung Kim, a US envoy to the Philippines who led previous talks with Pyongyang, held working-level talks that lasted all day. Trump said that he and the North Korea leader he once denounced as "Little Rocket Man" had "developed a very special bond". "Getting a good picture everyone, so we all look nice and handsome and thin.perfect".
It's the first ever meeting between a sitting US president and North Korean leader.
Trump and aides said they did not expect the summit to generate a comprehensive nuclear deal; they instead looked to set up a process to negotiate an agreement in which North Korea gives up nuclear weapons in exchange for economic assistance from the United States and other countries.
The U.S. foreign policy establishment considers an easing of the U.S. regional defense posture risky and highly inadvisable as long as North Korea maintains its nuclear, chemical and biological weapons, and a million-man army that mostly is deployed near the border with South Korea. "If diplomacy does not move in the right direction ... those measures will increase".
The White House said later that discussions with North Korea had moved "more quickly than expected" and Mr Trump would leave Singapore on Tuesday night after the summit, rather than Wednesday, as scheduled earlier.
The summit capped a dizzying few days of foreign policy activity for Trump, who shocked USA allies over the weekend by using a meeting in Canada of the Group of Seven industrialized economies to alienate America's closest friends in the West. Lashing out over trade practices, Trump lobbed insults at his G-7 host, Canadian Prime Minister Justin Trudeau.
Experts believe the North is close to being able to target the entire USA mainland with its nuclear-armed missiles, and while there's deep skepticism that Kim will quickly give up those hard-won nukes, there's also some hope that diplomacy can replace the animosity between the US and the North.
Business as usual in North Korea as public unaware of summit
Shortly after arriving, Kim visited the presidential palace, the Istana, to meet with Singapore's Prime Minister Lee Hsien-loong. If it follows the usual routine, state media will probably wait until the event is over before it puts out its first reports.
Southeast Asia’s Grab lands $1B from Toyota at a $10B valuation
Toyota Motor Corp.is making its largest bet to date on ride hailing with a $1 billion investment in Singapore's Grab Holdings. It invested an undisclosed sum in the United States company in 2016.
Avengers: Infinity War Passes $2 Billion Mark
It's now the third highest-grossing offshore release of all time behind Avatar ($2.027 billion), and Titanic ($1.528 billion). The film got a flying start in India too by recording a gross box office collection of Rs 120.9 crore in its opening weekend.