Samsung says only a little more than half of the Galaxy Note 7 smartphones it has sold in Europe have now been returned as part of the recall it announced earlier this month.
Over 25,000, or 57%, of the total number of devices sold in the region have been exchanged for safe models.
Shipments of the company's new flagship phablet were halted on 2 September following reports that a problem with the battery on a small number of the handsets was causing them to explode or go on fire.
Since 19 September, owners of the device in Ireland have been able to exchange them for a new model.
Those who have not yet exchanged are being urged to ensure they keep their phone powered down for the sake of safety.
The company says of those who have exchanged the phone, 90% have chosen a replacement Note 7, with 3% opting for an alternative Samsung handset and the balance choosing something else.
Samsung says it hopes to complete the programme by the start of October, with sales of the phablet resuming in Europe on 28 October.
The recall has proven extremely embarrassing for the South Korean company and costly, with analysts estimating it could cost the company $1bn.
