CLEVELAND -- Presumptive Republican nominee Donald Trump may soon call for the federal government to provide the nation's 800,000 police officers with training in anti-terrorism intelligence gathering, according to former New York Mayor Rudy Giuliani, an adviser to the candidate.

"I am suggesting that the federal government take on as a mission the training all of our 800,000 sworn police officers so they can notice the precursors of terrorism," Giuliani told NJ Advance Media on Tuesday.



Giuliani, a former associate U.S. Attorney General, has been advising Trump on terrorism since May. Giuliani's working group's recommendations prompted Trump to shift his position from calling for a ban of all Muslims from entering the U.S. to simply vetting those from "terror countries," as Trump put it.



Giuliani said all recent domestic terror attacks, from the Boston marathon bombing in April 2013 to the deadliest mass shooting in U.S. history at the Pulse nightclub in Orlando, Fla. earlier this month, were later found to have a trail of unaddressed warning signs leading to them.



"Every one of these acts, there were things that could have been done to prevent it," said Giuliani. "But because of political correctness, or lack of resources, we didn't follow up."



Giuliani added that Trump had reacted "very positively" to his memo, and took the recommendations on-board, just as he had with the reversal of the Muslim immigration ban.



If embraced by a President Trump, it's not clear whether the recommendations would blur the traditional distinction between intelligence gathering and law enforcement.



Giuliani's plan for Trump would approach the problem of domestic terror locally, offering more and better-funded training to police in gathering intelligence in their communities to prevent domestic terror attacks.



"Very rarely do big acts of terror occur without suspects first 'casing the joint' as we used to say when I was a young prosecutor," explained Giuliani.



A local police or state police officer is often in a unique position to observe and act on intelligence about suspects.

"Are they walking around a building too much? Are they standing on a subway platform too often?" Giuliani said.



Less clear is what, if any, legal headwinds such an initiative might face.



Meanwhile, Giuliani, who is viewed by some GOP operatives as a possible candidate for United States Attorney General if Trump is elected, has seen his influence with Trump grow considerably in recent months.



Once the third-highest ranking official in the Justice Department, Giuliani assembled a working group of experts to advise Trump on anti-terrorism and immigration.



Giuliani's anti-terror group also includes former U.S. Attorney General Michael Mukasey, who served President George W. Bush; U.S. Rep. Michael Thomas McCaul, Sr. of Texas, the chairman of the House Committee on Homeland Security and Andrew C. McCarthy III, a columnist for National Review who once served as an Assistant United States Attorney for the Southern District of New York.



On Monday, Giuliani gave a fiery, 15 minute speech before the Republican National Convention on the theme of national security and Islamic terror, ending it with a warning to Islamic terrorists.



"You know who you are, and we are coming to get you!" he said.

Claude Brodesser-Akner may be reached at cbrodesser@njadvancemedia.com. Follow him on Twitter @ClaudeBrodesser. Find NJ.com Politics on Facebook.