The European Commission established the European Atlas for Civil Matters. If you are looking for a competent court or competent authority for the use of a specific instrument (delivery or notification of documents, European order for payment, etc.), you can consult the relevant section of the Atlas.
The search engine for courts in the Member States listed in this section includes the names and addresses of all courts competent in civil cases or commercial cases in the European Union Member States (courts of the first instance, courts of appeal, etc.), including the territorial scope of their jurisdiction.