Victoria's chief psychiatrist has been called in to review Monash Health's psychiatric care after one of its newly discharged patients allegedly threatened to blow up a plane over Melbourne.

Sri Lankan man Manodh Marks, 25, was released from psychiatric care from the Monash Medical Centre on Wednesday, then went and bought a ticket for a flight that night.

Mental Health Minister Martin Foley asked for an urgent report into the case.

"Clearly a situation where a foreign national is released from our care and within a day is involved in a major security incident is a pretty big red flag," Mr Foley told reporters in Melbourne on Friday.

"I've asked the chief psychiatrist to intervene with Monash Health to provide me with an independent oversight of what the circumstances were around this case."

He was hopeful he would have an initial report "in a week or a matter of weeks" to see what, if anything, needed to be done to prevent a similar incident happening again.

Monash Health welcomed the decision for the chief psychiatrist to review Marks' clinical care.

"We have already commenced our own internal review of his case, which includes senior clinical staff and independent experts," Monash Health said in a statement on Friday.

"We will work closely with the chief psychiatrist to conduct a thorough review of the circumstances surrounding this incident."

Marks, who has been living on a student visa in the Melbourne suburb of Dandenong, is accused of threatening to blow up the plane.

He was charged with endangering the safety of an aircraft and making false threats.

Marks was remanded in custody after his case was mentioned in the Melbourne Magistrates' Court on Thursday.

He did not appear in the court and his matter will return on August 24.