But North Korean leader Kim Jong Un has shown no sign of willingness to give in to US demands and negotiate away a weapons program he sees as vital to his survival, so any reduction in tensions could prove shortlived.
"I don't want to comment on it", Trump told the Wall Street Journal after he was asked directly if he had spoken with Kim. Would South Korean people accept this imbalance in their relations with the North? "I think you people are surprised". "I like it very much".
North Korea and South Korea have previously competed together under the unification flag in 1991 when they played as a single team in the World Table Tennis Championships in Chiba, Japan and the World Youth Football Championship in Lisbon, Portugal.
Mr Trump claimed credit on Wednesday for the inter-Korean dialogue, saying North Korea was feeling the pressure of a US-led campaign of sanctions over its nuclear weapons and missile development. The White House statement did not mention that, nor Trump's assurance that military force would not happen while the two Koreas continue to talk.
"Both heads of state forecast the current inter-Korean talks could naturally lead to talks between the United States and North Korea for the denuclearisation of the Korean peninsula after the Pyeongchang Winter Olympics and agreed to negotiate closely on the progression of inter-Korean talks", the statement said.
In addition, Trump, during a phone call with South Korea's President Moon Jae-in, said he would be open to diplomatic meetings with North Korea as well and also promised "no military action".
Trump suggested that his fiery tweets against North Korea and Kim during the first year of his administration were part of a diplomatic strategy. North Korean athletes and spectators will attend the Pyeongchang Olympics.
In 2010, North Korea invited him to visit, showing Hecker a uranium-enrichment plant it had built inside an old building at Yongbyon, the Times reports.
"I probably have a very good relationship with Kim Jong Un of North Korea".
North Korea has agreed to send athletes to next month's Winter Olympic Games in Pyeongchang after inter-Korean talks held in a border village of Panmunjom on January 9th, the first high-level meeting between the two Koreas in more than two years.
Pyongyang and the United States have engaged in a war of words amid the North's continued testing of its nuclear and ballistic-missile programs, which have been banned by United Nations resolutions. These remarks hint at Trump's confidence that, even if Pyongyang does have such intentions, the USA is capable of containing them. About half of all Olympics tickets are normally sold in the last two months and during the Games, they say.
In November 1987, almost a year before the Summer Games in Seoul, a South Korean airliner exploded, killing more than 100 people.
However because North Korea officials missed a registration deadline, Ryom and Kim's fate was now left in the hands of the IOC.
The Winter Olympics in Pyeongchang next month have always been overshadowed by geopolitical tensions, with the North repeatedly test-firing missiles it says are capable of reaching the United States mainland, and detonating its most powerful nuclear device to date.