Airline passengers were warned by the FAA not to use or charge the phones while on board.
Aviation authorities in several other countries and individual airlines have since then also banned the use of the devices on their flights.
Samsung had already said it would replace all devices that customers would hand in.
According to the company, battery problems were behind the phones catching fire, but Samsung said it was difficult to work out which phones were affected among those sold.
The Galaxy Note 7 was launched last month and has been otherwise generally well-received by consumers and critics.
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