Recognition of judgements
Ordinary private international law should be applied to the treatment of a judgement given in a third State in the legal system of a State participating in the Successions Regulation.
Likewise, a third State would apply its own rules of private international law to recognise (or otherwise) a judgement given in a State participating in the Successions Regulation in its legal system.
Any bilateral conventions that might exist between the States in question should be applied.