The EU Succession Regulation constitutes a remarkable achievement of unification of conflict of law rules at the European level. It has importantly changed the landscape for all those interested in succession law, in particular, the notaries and the estate planning practitioners. The present article takes up a number of selected issues that arise under the Regulation. The paper first identifies certain general difficulties that result either from the complex nature of the matters addressed or from a somewhat ambiguous wording of the rules adopted by the EU legislator. The attention is devoted to the exceptions to the principle of the unity of legis successionis, the dispositions upon death, and the intertemporal questions resulting from the change of the conflict of laws rules in the Member States which occurred on 17th August 2015 when the Regulation started to be applied. The paper then moves to some of the more specific issues arising under the Regulation. To that effect, it first looks at the Polish Act of 2018 governing the ”succession administration” of the enterprise, which forms part of the estate. The argument is made that the rules contained in the 2018 Act should be applied by virtue of Article 30 of the Succession Regulation because they constitute “special rules” in the meaning of this provision. Second, the notion of a “court” under Article 3(2) of the Regulation is discussed in light of the recent judgment of the CJEU in case C-658/17 WB, where the European Court found that a Polish notary issuing the deed of certification of succession is not a “court” for purposes of Article 3(2). The paper provides a critical account of the Court’s decision.