President Trump meets Kim Jong Un

10:10 p.m. ET, June 11, 2018

Kim Jong Un did not answer when asked whether he would give up his nukes

SAUL LOEB/AFP/Getty Images
SAUL LOEB/AFP/Getty Images

North Korean leader Kim Jong Un did not answer when asked whether he would give up his nuclear weapons.

However, President Trump predicted he would work with Kim to resolve differences over North Korea's nuclear program.

"Working together we’ll get it taken care of," Trump said at the start of an expanded meeting. He said the two leaders "will solve a big problem, a big dilemma."

Kim and President Trump have begun their second rounds of talks, which will end with a working lunch.

10:13 p.m. ET, June 11, 2018

Trump and Kim begin second round of talks, and again shake hands

President Trump and Kim Jong Un have begun their second series of talks after their personal one-on-one meeting concluded this morning.

Trump, sitting alongside Secretary of State Mike Pompeo, national security adviser John Bolton, White House chief of staff John Kelly and an interpreter told North Korean leader Kim Jong Un that he believes "we will be successful."

"We will be successful," Trump told Kim, sitting directly across from him. "And I look forward to working on it with you. It will be done."

Kim also offered brief remarks through an interpreter.

The extended talks are due to end at 11:30 a.m. local time (11:30 p.m. ET) with a working lunch.

10:05 p.m. ET, June 11, 2018

Trump and Kim head out of face-to-face meeting and take a short walk

President Trump and North Korea's Kim Jong Un have stepped out of their one-on-one talks to take a walk around the Capella Hotel, where the summit is being held.

After leaving the first session of their summit, Trump told waiting reporters the meeting had been "very, very good."

"Excellent relationship," he said from the balcony of the Capella Hotel.

They were in their personal meeting for about 35 minutes, and are due to start further meetings with advisers at 10 a.m. local time (10 p.m. ET).

Kim has taken a lot of private walks with world leaders since he stepped onto the world stage earlier this year.

In April, Kim went with South Korean President Moon Jae-in for a long stroll around the demilitarized zone, which divides the two countries.

11:45 p.m. ET, June 11, 2018

An emotional Dennis Rodman tells CNN: "Today is a great day"

Former NBA star Dennis Rodman told CNN that Tuesday's historic meeting with North Korean leader Kim Jong Un and President Trump was years in the making.

In an emotional interview, Rodman said he always believed in helping North Korea. He said he was even threatened for defending North Korea.

"It's a great day. I am here to see it. I'm so happy," he said. Rodman said he tried talking to former President Obama. "And Obama did not give me the time of day," he said.

Watch the interview:

9:34 p.m. ET, June 11, 2018

Trump got touchy with Kim Jong Un, patting him on the back and touching his elbow

President Trump gestures as he meets with North Korea's leader Kim Jong Un at the start of their historic US-North Korea summit, at the Capella Hotel on Sentosa island in Singapore on June 12, 2018.
President Trump gestures as he meets with North Korea's leader Kim Jong Un at the start of their historic US-North Korea summit, at the Capella Hotel on Sentosa island in Singapore on June 12, 2018.

President Trump and Kim held their first handshake for a dozen seconds as they exchanged a few inaudible words before a display of American and North Korean flags. It was just the beginning of a warm exchange of body language between the two men.

Trump briefly grabbed Kim's upper arm at the beginning of their handshake and then put his arm on Kim's back to guide them to their meeting room.

They then spoke briefly in a corridor before entering their meeting room and both men were smiling as they shook hands again with just two interpreters at their sides. 

Trump patted Kim on the back at several points as they made their way along a colonnade to a room for their first meeting.

Trump also offered Kim a thumbs' up after Kim said "we overcame all" of the obstacles that stood in their way.

9:34 p.m. ET, June 11, 2018

The interpreter with Trump works in the State Department

US President Trump shakes hands with North Korea leader Kim Jong Un during their first meetings at the Capella resort on Sentosa Island Tuesday, June 12, 2018 in Singapore.
US President Trump shakes hands with North Korea leader Kim Jong Un during their first meetings at the Capella resort on Sentosa Island Tuesday, June 12, 2018 in Singapore.

The interpreter with President Trump is Dr. Yun-hyang Lee, according to a source source familiar.

She’s the division chief of interpreting services at the State Department. 

9:29 p.m. ET, June 11, 2018

Trump and Kim have met. Here's what happens next.

President Trump and North Korea's Kim Jong Un are now meeting one-on-one, the first time a sitting US president has sat down for talks with a North Korean leader.

They are expected to speak alone for another 40 minutes, before other advisers join them for expanded talks at 10 a.m. local time (10 p.m. ET).

The two men will then hold a working lunch, beginning at 11.30 a.m. local time, before the summit ends in the afternoon.

No time has been announced for when the talks might conclude.

President Trump is expected to speak to reporters at 4 p.m. local time (4 a.m. ET), when we're likely to hear what has been accomplished during the day.

Air Force One will then depart Singapore in the early evening, at about 7 p.m. local time.