Asked whether he has spoken with the North Korean leader, Trump told the newspaper: "I don't want to comment on it". "The difference is I'm president, other people aren't".
"I probably have a very good relationship with Kim Jong-un of North Korea", Trump said.
Satellite images show that North Korea has bored new tunnels near its Punggye-ri nuclear test site, indicating Pyongyang's intention to maintain its potential for future nuclear testing, a USA website specialised in North Korean affairs has said. Kim called the 71-year-old American president "the mentally deranged USA dotard".
Trump's relationship with Kim has been primarily distinguished by escalating barbs and insults. Technically, South Korea and the United States remain at war with North Korea after the Korean War ended in 1953 with an armistice instead of a peace treaty.
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"These activities underscore North Korea's continued efforts to maintain the Punggye-ri site's potential for future nuclear testing", 38North concluded. "I'm not saying I have or I haven't".
Trump and Kim have traded bellicose rhetoric and crude insults over the previous year, as North Korea has accelerated weapons tests and appears on the cusp of having a nuclear-tipped missile that could strike the USA mainland.
But officials say this discussion has been postponed until after the Paralympic Games, which follow the Olympics and end in March, given the intra-Korean talks and a planned 20-country meeting on North Korea hosted by Canada next week.
The consensus among USA intelligence agencies is Kim is convinced Washington seeks to overthrow him and only a nuclear arsenal can deter that. Recently, he mocked Kim's New Year's address, in which the young despot said he had installed a nuclear button on his desk to order a strike against the U.S. "What he has basically said is 'Yes, there could be a time where we talk to North Korea, ' but a lot of things have to happen before that actually takes place".