He announced on Thursday that he was withdrawing from the scheduled June 12 meeting in Singapore, only to say on Friday that the summit might be back on.
Trump announced his decision to scrap the June summit in a letter Thursday that read "I feel it is inappropriate, at this time, to have this long-planned meeting" following antagonistic rhetoric from Pyongyang.
"We're going to see what happens", Trump told a reporter who asked if the summit was still off.
Trump subsequently wrote on Twitter that the two countries were having "very productive talks" and added that if the summit happens, it will likely still be in Singapore on the initially scheduled date, and could be extended if necessary.
The fragile balance was first tipped on May 15, after North Korea said it would cut off talks over military exercises being conducted in the region by the USA and South Korea. "We'd like to do it", he said.
The thaw between North and South Korea comes after a tense 2017, in which multiple missile tests by North Korea prompted an global outcry and an exchange of insults and threats between Kim and Trump. She referred to Vice-President Mike Pence as a "political dummy" for his earlier comments on North Korea and said it was up to the Americans whether they would "meet us at a meeting room or encounter us at nuclear-to-nuclear showdown".
Alberto's track shifts east and forecast changes for Mississippi Coast
The Weather Service office in Jacksonville said the disturbed weather could create an elevated risk of rip currents at the beach. "Tropical storm force wind gusts, 39 plus miles per hour , are possible Sunday, especially on area beaches".
Moon had just returned to Seoul after meeting with Trump at the White House.
Moon and North Korea's Kim have agreed to work on a plan to formally end the Korean War that was halted by a temporary armistice in 1953.
North Korea then surprised many by responding to Trump's bombshell move without insults or bluster.
Reporters were not notified of the summit beforehand and it was only attended by the two Koreas' incumbent and former spymasters: South Korea's National Intelligence Service Director Suh-hoon and Kim Young-chul, former chief of the North's Reconnaissance General Bureau.
A diplomatic tug of war continues between North Korea and the United States over the summit between Kim and Trump.
"There is no reason why we should fight each other - we are one nation", Kim said in a joint statement with Moon after that meeting.
China, US reportedly near resolution to ZTE dispute
On the other hand, the question of how much time it will take for China and the U.S. to reduce the trade deficit remains elusive. In tweets earlier this week, he said: "China is out-negotiating the administration and winning the trade talks right now".
Talks stalled without warning earlier this week after Trump accused North Korea of displaying "tremendous anger and open hostility".
The newspaper instead focused on Kim Jong-un's visit to the coastal town of Wonsan to inspect the construction of a beachfront tourist complex.
A White House team is traveling to Singapore to prep for the June 12 meeting between Kim and Trump.
Notably, the statement did not appear in Saturday's edition of Rodong Sinmun, which is the official mouthpiece of the North's ruling party and is widely read by North Koreans.
In Singapore, a large advance team led by deputy White House chief of staff Joe Hagin arrived late Monday to begin logistical preparations for a summit.
U.S. employee suffers brain injury in China after 'abnormal sounds'
Secretary of State Mike Pompeo told lawmakers that the "sonic attack" in China was "medically similar" to the incidents in Cuba. China's Foreign Ministry and National Health Commission did not immediately respond to faxed questions about the report.