French consumer groups are investigating reports of iPhones that explode or crack spontaneously.
An 80-year-old from the Paris suburbs was among eight people who said their phones’ screens were affected, according to the AFP news agency.
Consumers in the UK, Holland and Sweden have reported similar problems, prompting an earlier EU investigation.
Apple said it was aware of the reports and was waiting to receive the handsets from the affected customers.
The firm has been accused of trying to hush-up cases of iPhones and iPods heating up or bursting into flames in the US and the UK.
Ken Stanborough and his daughter, from Liverpool, have accused the firm of trying to silence them with a gagging order after the child’s iPod exploded and the family sought a refund.
Apple reportedly offered to pay the money to Mr Stanborough, but only if he kept the terms of the settlement confidential.
It has been reported that the device’s lithium ion batteries could be the source of the problem.