Authorities are still searching for a motive for the rampage which also injured eight others.
The attacker has been named by U.S. media as Mohammed Saeed Alshamrani.
They reportedly watched videos of mass shootings while there, a USA official told AP, and one of those students reportedly videotaped the building where the shooting was taking place, while the other two watched from a auto. Six others were hurt.
The shooting occurred around 6:50 a.m.in a two-floor classroom building at the naval base, which is on the Florida Panhandle about 13 miles from the Alabama border.
A top Republican ally of President Donald Trump went a step further than the White House on Sunday by calling for Saudi Arabia to be suspended from an American military training program after a student pilot from the kingdom shot and killed three sailors at a USA naval base in Florida.
The victims of the attack have been named as Joshua Kaleb Watson, 23, Mohammed Sameh Haitham, 19, and Cameron Scott Walters, 21. A pair hundred college students from global locations out of doorways the USA are also enrolled in coaching, acknowledged Unfavorable commander Capt. Tim Kinsella.
"I want to make sure those procedures are full and sufficient", Esper said.
The gunman, who was killed by sheriff's deputies, was identified by the Federal Bureau of Investigation late Saturday as Mohammed Saeed Alshamrani, 21, a second lieutenant in the Royal Saudi Air Force.
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Joshua Watson, who had just graduated from the U.S. Naval Academy and looked forward to a military career as a pilot, "saved countless lives. with his own", his brother Adam said in a Facebook post.
Still, the shooting raised uneasy parallels to the attacks of 11 September 2001, when numerous al-Qaeda-linked hijackers who flew planes into the World Trade Centre, Pentagon and Pennsylvania countryside were Saudi citizens who had flight training in the US.
The Saudi King and the Crown Prince are devastated over the shooting by a Saudi air force trainee at a U.S. naval base in Florida this week that resulted in the death of three and injury to eight others, President Donald Trump said Saturday.
President Donald Trump said on Saturday that he was in close contact with Saudi authorities, saying King Salman would help with the investigation.
Earlier Friday, two US officials identified the student as a second lieutenant in the Saudi Air Force.
It follows chilling novel shrimp print rising within the wake of Friday morning's taking pictures, at the side of recordsdata that three Saudi serviceman joined al-Shamrani for a dinner celebration the night sooner than the assault the establish they watched videos of mass shootings.
He added King Salman informed him that the Saudi people love the U.S. and "are greatly angered by the barbaric actions of the shooter". Saudi personnel make up about 16% of the foreign personnel being trained at United States military schools and other facilities. "I think what we should do is start negotiating with Pakistan".
The shooting occurred in one of the classrooms on the compound, which serves as a training base.
The US has long had a robust training programme for Saudis, providing assistance in the US and in the kingdom.