President Donald Trump said Friday that his administration has restarted dialogue with North Korea following his cancellation of a historic summit, with the president suggesting that a meeting between the two countries could even take place on the originally scheduled date.

After days of fiery remarks from North Korea that appeared to suggest the country would not give up its nuclear arsenal, Trump abruptly cancelled the summit in a letter released on Thursday. The cancellation took South Korea by surprise, and left officials in Seoul scrambling to contain the fallout.

However, Trump left the door open to a meeting in the future, and on Friday hinted that the lines of communication remained open.

"We'll see what happens. We're talking to them now," he told reporters as he left the White House on his way to speak at the U.S. Naval Academy graduation. The president added that the scrapped meeting with North Korean dictator Kim Jong Un "could" still happen.

Late Friday, Trump said the two sides were engaged in "very productive" discussions, and a Singapore rapprochement might still be in the cards.

Trump tweet

The summit, part of a process the U.S. hopes will lead to Pyongyang abandoning its nuclear and missile programs, had been set for June 12 in Singapore. If, as Trump suggests, the confab takes place, it will be the first time a U.S. president met with a North Korean leader.

On Thursday, Trump denounced North Korea's "tremendous anger and open hostility." A senior White House official said North Korea had stopped direct communication with the U.S. over the previous week.