SINGAPORE >> President Donald Trump and North Korean leader Kim Jong Un converged on this island city-state Sunday ahead of one of the most unusual and highly anticipated summits in recent world history, a Tuesday sit-down meant to settle a standoff over Pyongyang’s nuclear arsenal.

Trump descended from Air Force One into the steamy Singapore night, greeting officials and declaring he felt “very good,” before he was whisked away to his hotel, driving along a route lined with police and photo-snapping onlookers. Trump traveled to Singapore from Canada, where he met with other world leaders whose countries make up the Group of Seven.

Hours earlier, a jet carrying Kim landed. After shaking hands with the Singapore foreign minister, Kim sped through the streets in a massive limousine, two large North Korean flags fluttering on the hood, surrounded by other black vehicles with tinted windows and bound for the luxurious and closely guarded St. Regis Hotel.

Kim smiled broadly Sunday evening as he met with Singapore Prime Minister Lee Hsien Loong.

“The entire world is watching the historic summit between (North Korea) and the United States of America, and thanks to your sincere efforts … we were able to complete the preparations for the historic summit,” Kim told Lee through an interpreter.

Trump is set to meet with Lee on Monday.

Trump has said he hopes to make a legacy-defining deal for the North to give up its nuclear weapons, though he has recently sought to manage expectations, saying that it may take more than one meeting.

The North, many experts believe, stands on the brink of being able to target the entire U.S. 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 U.S. and the North.

U.S. and North Korean officials are set to meet Monday morning in Singapore to make final preparations for Tuesday’s meeting. White House press secretary Sarah Sanders said Sung Kim, the U.S. ambassador to the Philippines who has taken the lead on policy negotiations with the North, will hold a “working group” session with a North Korean delegation.

This will be the first summit of its kind between a leader of North Korea and a sitting U.S. president. The North has faced crippling diplomatic and economic sanctions as it has advanced development of its nuclear and ballistic missile programs.

The North Korean autocrat’s every move will be followed by 3,000 journalists who have converged on Singapore, and by gawkers around the world, up until he shakes hands with Trump on Tuesday. It’s a reflection of the intense global curiosity over Kim’s sudden turn to diplomacy in recent months after a slew of North Korean nuclear and missile tests last year raised serious fears of war.

Part of the interest in Tuesday’s summit is simply because Kim has had limited appearances on the world stage. He has only publicly left his country three times since taking power after his father’s death in late 2011 — traveling twice to China and once across his shared border with the South to the southern part of the Demilitarized Zone in recent summits with the leaders of China and South Korea, respectively.

But it’s Kim’s pursuit of nuclear weapons that gives his meeting with Trump such high stakes. The meeting was initially meant to rid North Korea of its nuclear weapons, but the talks have been portrayed by Trump in recent days more as a get-to-know-you session. Trump has also raised the possibility of further summits and an agreement ending the Korean War by replacing the armistice signed in 1953 with a peace treaty. China and South Korea would have to sign off on any legal treaty.

It’s unclear what Trump and Kim might decide Tuesday.

Pyongyang has said it is willing to deal away its entire nuclear arsenal if the United States provides it with reliable security assurances and other benefits. But many say this is highly unlikely, given how hard it has been for Kim to build his program and that the weapons are seen as the major guarantee to his holding onto unchecked power.

Any nuclear deal will hinge on North Korea’s willingness to allow unfettered outside inspections of the country’s warheads and nuclear fuel, much of which is likely kept in a vast complex of underground facilities. Past nuclear deals have crumbled over North Korea’s reluctance to open its doors to outsiders.

Another possibility from the summit is a deal to end the Korean War, which North Korea has long demanded, presumably, in part, to get U.S. troops off the Korean Peninsula and, eventually, pave the way for a North Korean-led unified Korea.

The fighting ended on July 27, 1953, but the war technically continues today because instead of a difficult-to-negotiate peace treaty, military officers for the U.S.-led United Nations, North Korea and China signed an armistice that halted the fighting. The North may see a treaty — and its presumed safety assurances from Washington — as its best way of preserving the Kim family dynasty. The ensuing recognition as a “normal country” could then allow sanctions relief, and later international aid and investment.

Just meeting with Trump will also give Kim a recognition North Korea has long sought, setting him up as global player and the leader of a “normal country” worthy of respect.