The ship's senior physician, Oliver Gilles, said the crew member who was in serious condition had suffered "prolonged heat and smoke exposure."
A month after 32 people died when the Costa Concordia ran aground and capsized off the western coast of Italy, a fire on the Costra Allegra left that ship without power and adrift in waters known to be prowled by pirates in the Indian Ocean for three days.
Both Costa ships are part of Costa Crociere, SpA, a subsidiary of Carnival Corp., the world's largest cruise operator.
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