Six Iranian refugees who were caught travelling back to the country where they claimed their lives were in danger have reportedly been allowed to stay in Australia.

The group have been accused of lying on their visa applications after voluntarily returning to Iran on holiday despite having obtained protection visas based on fears for their lives, News Corp reports.

Immigration Minister Peter Dutton is considering what he will do in response to the reports, 9NEWS understands.

All six refugees' protection visas were reportedly cancelled after it was discovered they were travelling between Iran and Australia.

They were set to be deported, but after successfully appealing to the Administrative Appeals Tribunal they were allowed to stay in Australia.

One man reportedly made three trips to Iran despite earlier claiming he could face execution if he returned.

A couple also reportedly travelled to and from Iran using their Iranian passports after claiming persecution.