The Kim-Trump summit, scheduled for June 12 in Singapore, was put back on track following multi-track talks between DPRK and US officials in NY and Singapore's efforts to salvage the highly-anticipated meeting.
"I think he loved it", said Trump.
"We also hope that the resolution of the Korean Peninsula issue will take into account and address our concerns about proliferation linkages extending to India's neighbourhood", it said in a statement, in an apparent reference to North Korea's alleged nuclear proliferation linkages with Pakistan.
The video was also shown to a wider audience at the start of Tuesday's press conference before making the rounds on social media.
When asked about the video montage played ahead of the press conference, Trump said: "We had it made".
The film drew on the "in a world" and "one man, one choice" framing of Hollywood action movies.
After huddling for around 40 minutes, Trump and Kim were joined by senior advisors before breaking for lunch, where prawn cocktail, short-rib confit, soy-braised cod, and vanilla ice-cream were among the options.
In Seoul, South Korean President Moon Jae-in watched live on television, telling his ministers, he "could hardly sleep last night".
Later in the morning, the meetings will be expanded to include the US President's chief of staff, national security adviser and secretary of state.
The two men kicked off their summit with a handshake shortly after 9 a.m. local time Tuesday - 9 p.m. Monday in NY - marking the first face-to-face encounter between a sitting USA president and a North Korean leader.
The DPRK and the United States have had no diplomatic relations since the 1950-53 Korean War.
China has long advocated a "dual-track" approach: denuclearization on the Korean Peninsula and an established peace mechanism. "India has always supported all efforts to bring about peace and stability in the Korean Peninsula through dialogue and diplomacy", the External Affairs Ministry said.