It was a surreal sight when American President Donald Trump finally met face to face, and shook hands with, North Korean dictator Kim Jong-un on Monday, but it was the start of a remarkable night.

“I feel really great. I feel really great,” President Donald Trump said as the two men sat in front of the press before they went into a private meeting with only their translators. “We’re going to have a great discussion, and I think a tremendous success. It’s gonna be be tremendously successful, and it’s an honor, and we will have a terrific relationship, I have no doubt.”

“It was not easy to get here…old prejudices and practices worked as obstacles on our way forward, but we overcame all of them,” Kim said to the president.

“I think that’s true,” President Trump said as he, again, shook Kim’s hand.

The two men then retreated to their meeting and emerged just over a half hour later, both smiling and appearing to have had a good talk.

As they sat together for a working lunch President Trump spoke about the denuclearization of the Korean peninsula and said, “We’ll solve the big problem, the big dilemma that until this point has been unable to be solved, and I know that working together we will get it taken care of, as he shook Kim’s hand for a third time.

UPDATE:

President Trump and Kim Jong-Un signed, what President Trump called a “pretty comprehensive document,” around 1:40 a.m EST. He said the two men had developed a “special bond.”

“We had a really fantastic meeting. A lot of progress,”  the president said three hours after the two men had started working. “Really very positive. I think better than anybody could have expected.”

“Today, we had [an] historic meeting and decided to leave the past behind,” Kim said before the signing.

After the signing the president said he would invite Kim to the White house and said of Kim that “He is a very worthy negotiator. We will meet many times.”