Donald Trump Donald John TrumpFederal prosecutor speaks out, says Barr 'has brought shame' on Justice Dept. Former Pence aide: White House staffers discussed Trump refusing to leave office Progressive group buys domain name of Trump's No. 1 Supreme Court pick MORE adviser Rudy Giuliani pushed the idea that Hillary Clinton Hillary Diane Rodham ClintonBloomberg rolls out M ad buy to boost Biden in Florida Hillicon Valley: Productivity, fatigue, cybersecurity emerge as top concerns amid pandemic | Facebook critics launch alternative oversight board | Google to temporarily bar election ads after polls close Trump pledges to make Juneteenth a federal holiday, designate KKK a terrorist group in pitch to Black voters MORE has health issues by telling viewers of "Fox News Sunday" they should do an internet search for "Hillary Clinton illness" and watch the videos that pop up.

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Giuliani, a former mayor of New York City, claimed the media "fails to point out several signs of illness by her. All you've got to do is go online," he said Sunday.

"Go online and put down 'Hillary Clinton illness,' take a look at the videos for yourself," he said.

Clinton campaign press secretary Brian Fallon responded Sunday, saying: "Google Rudy and health and you can read about how he withdrew from '00 Senate race against Clinton," he tweeted, referencing Giuliani's battle with prostate cancer.

Google Rudy and health and you can read about how he withdrew from '00 Senate race against Clinton https://t.co/vkFgjgDBkf — Brian Fallon (@brianefallon) August 21, 2016

Trump, the Republican nominee for president, has taken to questioning Clinton's health and stamina in recent weeks.

Earlier this month, he said Clinton wasn't "strong enough" to be president.

"She's weak. She's a weak person. I known her. She's a weak person," Trump said at a rally in Iowa.

"She's actually not strong enough to be president."

And on Thursday, a top spokeswoman for Donald Trump claimed Clinton has brain damage that impairs her ability to communicate.

Speaking on MSNBC, Katrina Pierson alleged that the Democratic presidential nominee has a disorder called dysphasia, a condition brought on by brain trauma that erodes a person’s ability to speak or comprehend language.

Earlier this week, Trump named Breitbart News executive Stephen Bannon as campaign CEO.

Breitbart under Bannon has regularly posted stories raising questions about Clinton’s health, despite repeated assertions from her doctors that she is healthy.