US officials investigating the deadly attack were working Saturday to determine whether it was motivated by terrorism.
The suspect who shot and killed three people before he was killed at a U.S.
The FBI identified the gunman as Mohammed Alshamrani, 21.
This photo taken from video provided by WEAR-TV shows emergency responders near the Naval Air Base Station in Pensacola, Fla., on December 6, 2019.
The assault, which prompted a massive law enforcement response and base lockdown, ended when a sheriff's deputy killed the attacker.
The shooter - in the U.S. for aviation training - killed three people and himself on Friday.
The entrance to the Naval Air Base Station in Pensacola, Fla., on January 29, 2016.
In a Facebook post written by Watson's brother, Adam, he calls his brother a hero.
Defense Secretary Mark Esper has requested a review of how foreign nationals are vetted as potential security threats before they are admitted to train with the USA military, he said on Sunday. The name of the shooter and the identities of the victims have not been officially released.
Doing so, she said, "allows us to take advantage of investigative techniques that can help us more quickly identify and then eliminate any additional threats to the rest of our community".
Esper was referring to the Pentagon programs that train more than 5,000 foreign nationals, including 852 Saudis such as the Pensacola killer, Saudi Royal Air Force 2nd Lt. Mohammed Saeed Alshamrani. They spoke on condition of anonymity to disclose information that had not yet been made public.
Gaetz, who, like Graham, is an outspoken defender of Trump during the impeachment inquiry being led by House Democrats, declined to criticize the president when asked whether Trump has been tough enough with Saudi Arabia.
President Donald Trump tweeted earlier that "King Salman of Saudi Arabia just called to express his honest condolences and give his sympathies".
He acknowledged the king told him that 'this person by no means form or make represents the sentiments of the Saudi of us'. The Kingdom expresses its deepest condolences to the families of victims, and to the American people.
Florida Governor Ron DeSantis said the suspect was attending training at the base as part of a Navy program open to us allies. The shooting, however, shined a spotlight on the two countries' sometimes rocky relationship.
Tim Kinsella, commanding officer of Naval Air Station Pensacola, said the three took action during the attack.
The suspect was on the base as part of a US Navy training programme created to foster links with foreign allies.
Trump also said he would review policies governing foreign military training in the United States.
Calls for an active shooter at the Naval Air Station Pensacola came in at 6:51 a.m., authorities said.
"That remains my ambition, but I have to deal with the world I have, and so I gotta make sure at the same time I deter conflict - in this case in the Middle East", he said. 'Those shrimp print were priceless, ' he wrote on his Fb page.
He said it had been his son's dream to become a Navy pilot and he had reported to the Pensacola flight school just two weeks ago. 'He died serving his nation, ' Benjamin Watson acknowledged.