Trump and Moon discussed "the goals of achieving the final, fully verified denuclearization" of the DPRK and "establishing a permanent peace on the Korean Peninsula," according to the statement.
Trump's defense team argued Friday that the Senate doesn't need to call more witnesses because the case from House Democrats is defective, but that calling witnesses could permanently damage relations between Congress and the presidency.
Trump blames NAFTA for the loss of US manufacturing jobs and wants major changes to the pact, which underpins .2 trillion in annual trade. Markets fear its demise would cause major economic disruption.
Trump's eldest daughter Ivanka Trump, who is a senior adviser to her father, ruled herself out of consideration in a Twitter post. He had said she would be "incredible" in the role and acknowledged he would be accused of nepotism if he nominated her.
Trump prevailed in Ohio in the 2016 election, a win that helped give him enough electoral votes to become president despite losing the popular vote to Hillary Clinton. The state is expected to be critical for Trump if he seeks re-election as promised in 2020.
Trump's proposed 2018 budget calls for deep spending cuts by government science agencies, including a 31 percent reduction for the Environmental Protection Agency.
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Trump also asked Congress to pass legislation to "help ensure American foreign-assistance dollars always serve American interests, and only go to friends of America".
Trump abruptly fired Comey, who was leading the Federal Bureau of Investigation's probe, on May 9.
Trump called him "a very sick person."
Trump also said he expected to see a lot of US schools reopen after being shut down by the coronavirus pandemic.