They told rescuers they were forced to crew a 10m-long Thai fishing boat that broke up about 200 nautical miles north of Australia, sources told The Courier-Mail.
As the wooden boat splintered into the ocean, the crew sent out distress signals but were ignored, the men told authorities.
The two survivors climbed into the icebox as other crew searched desperately for something to grab from the wreck.
They saw a Thai man floating past them in the ocean but were unable to help, they said.
It is understood the men managed to survive by drinking rain water that gathered at the bottom of the box and by eating pieces of fish that were also in the container.
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(image credit: Channel 7)