Where there are exemptions of liabilities such as for payment and settlement systems, employee or trade creditors, or preferential ranking such as for deposits of natural persons and micro, small and medium-sized enterprises, they should apply in third countries as well as in the Union. To ensure the ability to write down or convert liabilities when appropriate in third countries, recognition of that possibility should be included in the contractual provisions governed by the law of the third countries, especially for those liabilities ranking at a lower level within the hierarchy of creditors. Such contractual terms should not be required for liabilities exempted from bail-in for deposits of natural persons and micro, small and medium-sized enterprises or where the law of the third country or a binding agreement concluded with that third country allow the resolution authority of the Member State to exercise its write down or conversion powers.