A Bangladeshi has become the third to die from a group of workers who fled a Mexican oil rig ahead of a Caribbean tropical storm and were rescued by the navy, according to the oil firm.

Mexican oil giant Pemex said late Monday that six other people were rescued but one was still missing after the evacuation ahead of Tropical Storm Nate.

"The worker, originally from Bangladesh, unfortunately died on Sunday night, shortly after being rescued. He was severely dehydrated. The other six rescued workers are in stable condition," a spokesman for Pemex told AFP.

The seven rescued workers, who had cleared off the Trinity II platform last Thursday, included the Bangladeshi, four Mexicans and two Americans.

The two bodies had not been identified.

Pemex on Sunday evacuated another 473 workers from six platforms in the Gulf of Mexico due to bad weather.

Nate made landfall on Mexico's gulf coast as a tropical storm early Sunday, bringing torrential rain and high winds.