"I probably have a very good relationship with Kim Jong-un", Mr Trump told The Wall Street Journal.
"I have relationships with people", Trump continued.
"I think that we will have peace through strength".
White House spokespeople didn't immediately respond to questions about whether Trump and Kim had spoken.
North Korea's largest trading partners China and Russian Federation in the past had resisted United Nations sanctions against Pyongyang, but previous year both countries agreed to stiff economic penalties against North Korea for it aggressive weapons testing.
Sanders insisted that Trump has a "full understanding" of the FISA debate, additionally pointing to comments made earlier Thursday by House Speaker Paul Ryan (R-Wis.) that defended the president's knowledge of the issue.
Mr Putin said dialogue with North Korea was warranted and said Kim now wanted to calm the situation.
Rhetoric on all sides may have moderated as a result of the first round of intra-Korean talks in more than two years on Tuesday, but US officials say hawks in President Donald Trump's administration, up to and including Trump himself, remain pessimistic that they will lead anywhere.
In November, Trump said while on a trip to Vietnam that becoming friends with Kim "might be a unusual thing to happen but it's a possibility". I'm not saying I have or haven't.
During my visit, I heard nothing to suggest that North Korea is prepared, at this time, to be the first to accept the Russian and Chinese proposal for a freeze on its missile and nuclear tests in return for American agreement to freeze its joint military exercises with South Korea.
On Wednesday, South Korea and the US said they were willing to meet with North Korea - perhaps even with Kim - under some circumstances, in a potential conciliatory step after years of increasing isolation for Pyongyang.
In an article in 38 North, Alexander Vorontsov, head of the Department for Korean and Mongolian Studies and the Institute of Oriental Studies of the Russia Academy of Sciences, said North Korean diplomats are anxious the misunderstanding is clouding perceptions of the regime's weapons program.
The book's popularity "foretells Trump's political demise", the article said.
"It just was", Jackson said, before asking how people can trust administration officials to relay the president's positions if he changes them seemingly on a whim. "He's been advised by a lot of agencies and departments of the damage it would cause and the number of victims", the official said. North Korea's aggressive pursuit of a ballistic missile capable of hitting the United States with a nuclear warhead has emerged as the president's most fraught foreign crisis.