Ulster Bank's parent company claims it is committed to the Irish market, as it releases its annual results today.
In a statement released with the results, RBS said it is continuing to review the business in the Republic, with a view to being a challenger to the "systemic" banks.
It reported losses of £8.2bn (€9.9bn) last year, a figure its boss is calling "huge and sobering".
The company said the Northern operation would become "more closely integrated" with its UK business, but there is no indication yet as to what that means for the Republic.