A Chilean court designated 28-year-old Rehman "a danger to society" on Saturday.
Rehman had previously been charged after being found with traces of explosives.
He was released last week on probation following charges of illegally possessing weapons, but not of violating an anti-terror law.
Khan, an intern at a Santiago hotel, had gone to the US embassy after being called in for a discussion about his US visa, which had been revoked.
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