As for Trump's own recovery, his doctor, Navy Cmdr. Sean Conley, said in a letter that the president had a “restful” Monday night at the White House and “reports no symptoms”.
Meanwhile, Trump was grappling with next political steps exactly four weeks from Election Day.
Anxious to project strength, Trump, who is still contagious with the virus, tweeted Tuesday that he was planning to attend next week's debate with Democrat Joe Biden in Miami and "It will be great!”
Biden, for his part, said he and Trump “shouldn’t have a debate” as long as the president remains Covid positive.
Biden told reporters in Pennsylvania that he was “looking forward to being able to debate him” but said “we’re going to have to follow very strict guidelines”.
Elsewhere in the government, the scope of the outbreak was still being uncovered.
On Tuesday, the nation’s top military leaders including the chairman of the Joint Chiefs of Staff, Gen. Mark Milley, and the Vice-Chairman, Gen. John Hyten, were in quarantine after exposure to Adm. Charles W. Ray, the vice commandant of the Coast Guard.
It was not known how Ray contracted the virus, but he attended an event for military families at the White House on September 27. The Coast Guard said in a statement that Ray felt mild symptoms over the weekend and was tested on Monday.
Also testing positive Tuesday was Miller, a top policy adviser and Trump speechwriter, who has been an architect of the president’s restrictive immigration measures.
Miller’s wife, Katie Miller, who serves as communications director to Vice President Mike Pence, had the virus earlier this year.