President didn't disclose 1st positive test, sources say

The president had already tested positive Thursday when he appeared on Fox News.

ByMatt Zarrell, Jon Haworth, Ivan Pereira, and Marc Nathanson
Last Updated: October 5, 2020, 7:58 AM EDT

President Donald Trump's condition is continuing to improve as he fights a coronavirus infection, doctors say, and he may be able to leave Walter Reed Medical Center as early as Monday -- even as details emerge that the president allegedly initially tested positive for COVID-19 earlier than he acknowledged.

Doctors also reported that Trump, over the course of exhibiting coronavirus symptoms, had earlier experienced two episodes of "transient drops" in his oxygen saturation.

Yet the president was feeling well enough Sunday evening to briefly leave Walter Reed for a surprise drive-by, waving to supporters outside the hospital.

Meanwhile, numerous questions remain about how many people at the highest levels of government had been exposed to the virus after a week of events involving the president where social distancing and mask-wearing were lax in the White House and elsewhere.

Sunday's headlines:

Here is how the news developed on Sunday. All times Eastern.
Oct 04, 2020, 8:06 AM EDT

Rudy Giuliani says Trump 'felt pretty bad the first day'

Rudy Giuliani said on Fox News on Sunday morning that he held about a 35 to 40 minute phone conversation with Trump on Saturday where they went over his health and the campaign.

"I had to kind of get him off the phone so he went back and rested," Guiliani said in the interview.

Giuliani says the president told him that he "felt pretty bad the first day", but, as of 3 p.m. on Saturday that he "felt perfectly fine", had no fever and was a little tired. 

Giuliani also commented on his own personal health and said he got tested two days ago and will be tested again "probably tomorrow."

Giuliani said he tested negative and currently has no symptoms of COVID-19.

ABC News' Ahmad Hemingway contributed to this report.

Oct 04, 2020, 4:43 AM EDT

Bodyman for Trump tests positive

Nick Luna, the current director of Oval Office Operations and bodyman to President Trump has tested positive for the coronavirus, sources familiar with the matter confirmed to ABC News tonight.

Luna travels with the president pretty much wherever he goes and sources with direct knowledge tell ABC News that Luna was with Trump on most of his travels this week, including most recently a trip with the president and Hope Hicks, who later tested positive for COVID, on Wednesday. He did not travel to Trump's fundraiser in Bedminster, New Jersey, on Thursday.

Luna's positive test could have other implications: He is married to another White House aide who happens to be an assistant to Jared Kushner, the president's senior advisor and son-in-law.

ABC News' John Santucci contributed to this report.

Editor's Note: Luna did not travel to Trump National Golf Club on Thursday as previously stated. His last trip with the president was on Wednesday.