Trump announced stricter sanctions on the DPRK last Friday, eliciting condemnation from North Korea, which called the US measures "an act of war".
Trump's attorneys have argued that he was justified in seeking investigations because of a history of corruption involving the company.
Trump said he would speak with Canadian Prime Minister Justin Trudeau in a little while and hoped to resume negotiations with Canada soon.
Trump tweeted on Saturday that, "I agree with Kim Jong-un of North Korea (the DPRK) that our personal relationship remains very good, perhaps the term excellent would be even more accurate, and that a third Summit would be good in that we fully understand where we each stand."
Trump has said he will name Ginsburg's replacement on Saturday.
Trump also invoked the national security justification to impose steep tariffs on steel and aluminum imports, angering key allies.
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Trump, escorted by Kim, briefly crossed the military demarcation line between the Democratic People's Republic of Korea and the Republic of Korea on Sunday afternoon, onto DPRK soil, becoming the first sitting US president to set foot in the country.
Trump's diplomatic demeanor when meeting his host was in contrast to his arrival, where before his plane had even landed, he launched a Twitter attack on London mayor Sadiq Khan, who said his state visit "will be one we look back on with profound regret and acknowledge that we were on the wrong side of history".
Trump pledged during the presidential campaign to renegotiate the accord, but he has wavered on the issue since winning the presidency. His top officials have appeared divided about what to do about the deal, under which the United States pledged to significantly reduce planet-warming carbon emissions in the coming decade.
Trump last week called for a "tougher" travel ban after a bomb partially exploded on a London subway.