Fifteen people took ill in a possible case of food poisoning during a trans-Atlantic flight Wednesday, officials told ABC News.

Inspectors with the local health department and U.S. Centers for Disease Control and Prevention met Delta Flight 72 as it arrived at Kennedy International Airport in New York around 5 p.m., airport officials said. The flight originated in Istanbul, Turkey.

"They had stomach cramps and were vomiting," said one source.

The stricken passengers were interviewed and declined offers to be transported to a hospital for further treatment.

In a statement to ABC News, the airline said: "After a small number of customers on flight 73 from Istanbul reported feeling ill prior to landing at JFK, Delta called for medical personnel to meet the flight. Delta employees are working closely with these customers to ensure they are well cared for. Delta will look into what may have caused these reports."