(CNN) -- Seven of the 10 oil workers who went missing in the Gulf of Mexico last week were found alive Sunday, said Mexico's state-owned oil company, Pemex.
Two of the workers were found dead, while one remains missing, the company reported.
The workers were found Sunday morning off the coast of the state of Campeche, Pemex said. They were taken to a local hospital.
It was not immediately clear how the workers were found, or what their exacts conditions were.
The workers, contracted by Texas-based Geokinetics, abandoned ship Thursday afternoon after Tropical Storm Nate caused their liftboat to take on water in the Bay of Campeche, according to Brenda Taquino, spokeswoman for Geokinetics.
A liftboat is a self-propelled vessel that looks like a miniature oil platform. It is often used to perform maintenance on oil and gas platforms.
The crew of a ship several miles away saw the workers board a life raft, but conditions were too dangerous for them to assist, Taquino said last week.
The life raft did not have a radio aboard, but was stocked with enough food, water and supplies for several days, as well as flares for the nighttime, she said.
The seven workers found alive were identified by Pemex as Kham Nadimuzzaman, of Bangladesh; Jeremy Parfait and Ted Derise, both of the United States; and Ruben Velasquez, Eleaquin Lopez, Luis Escobar and Ruben Lopez Villalobos, all of Mexico.
The fates of two other missing Americans, previously identified as Craig Myers and Nick Reed, of New Iberia, Louisiana, were not known -- as the bodies of the workers found dead have not yet been identified.
Pemex said it would continue searching for the one worker still missing.
Nate weakened to a tropical depression Sunday as it moved inland over Mexico, according to the National Weather Service.