US Defence Secretary Mark Esper has ordered a review of the screening process for foreign military in the US after a Saudi soldier launched a deadly attack at a Florida navy base.
The gunman – who was training at the Pensacola site – killed three sailors on Friday.
Mr Esper told Fox News Sunday he had instructed top defence officials to look into security measures at bases.
President Donald Trump has also pledged to review foreign military programmes.
The victims of the attack have been named as Joshua Kaleb Watson, 23, Mohammed Sameh Haitham, 19, and Cameron Scott Walters, 21.
The US Navy said the sailors “showed exceptional heroism and bravery in the face of evil”.
Who has been detained?
Several Saudi trainees have reportedly been held for questioning, though so far there has been no claim that they were involved in the attack.
The gunman, 21-year-old Mohammed Alshamrani, was shot dead at the scene.
Alshamrani had played mass-shooting videos to others at a dinner earlier in the week, several US media outlets report, quoting an anonymous official briefed on the investigation.
A Twitter user appearing to match Alshamrani's identity had also made a series of anti-US posts before the shooting, an online monitoring group says.
Speaking to Fox News Sunday, Mr Esper confirmed reports that one or two of the detained Saudis filmed the attack. “What is unclear is – were they filming it before it began or was it something where they picked up…