Trump told reporters at the White House on Friday that he was still open to holding a summit.
Trump's effort to impose a travel ban on visitors from several Muslim-dominant countries and news reports of plans to institute "extreme vetting" of foreign travelers is starting to worry some airline officials.
Trump also said that he signed an executive order Monday aimed at expanding access to telehealth and improving rural healthcare. In March, the Trump administration temporarily expanded benefits to reimburse doctors for certain telehealth services for Medicare beneficiaries.
Trump's fellow Republicans responded by letting the attorney general address the Democrats' criticism during their own floor time.
Trump expressed appreciation in return.
Trump also announced on Wednesday that the US and Canada had agreed to close their border to most travel as the two countries seek to blunt the spread of the coronavirus.
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Trump and Kim engaged in months of mutual insults and threats of devastation in 2017, sending tensions soaring before a diplomatic rapprochement the following year.
Trump also spoke by phone with Japanese Prime Minister Shinzo Abe on Monday about the peninsula situation.
Trump and his fellow Republicans have for weeks branded as illegitimate the work of committees probing Trump's overtures to Ukraine, arguing the full Democratic-led House of Representatives had failed to authorize their investigations in a public vote.
Trump on Saturday urged Republicans in a tweet to confirm his nomination "without delay," later telling reporters that he will "most likely" announce a female nominee "next week."