Regulators issued the recall last week after dozens of people reported that the Note 7 caught fire while charging.
The fixed phone’s rollout marks the end of a costly, weeks-long nightmare for Samsung, which suspended sales of the phone Sept. 2.
The fires were traced to a battery problem believed to affect 0.1% of the 2.5 million phones sold worldwide since August.
The Note 7 exchange program got off to a bumpy start outside the United States on Monday.
In Samsung’s home market of South Korea, the program didn’t attract much demand in Seoul.
Of the handful of Note 7 owners who visited one of the company’s service centers in that city, only a few were able to exchange their phones.
Some customers who bought the phone elsewhere or online were turned away.
Note 7 users stateside have been told to pick up their free replacement from Samsung, their wireless carrier or the store where they bought the phone.
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