Houston

Well, unless we're gonna pretend like EU isn't a majority of Europe (especially politically), then you'd be only somewhat wrong.

Sure, Russia is technically European and look at their laws, but, eh, we also know in practical terms when talking about European legislation, people generally refer to EU requirements from member states.

https://eur-lex.europa.eu/legal-content/EN/TXT/?uri=CELEX%3A32021L0555

Here are the ones for guns and yah, they included everything I said. Granted it's technically up to the country to decide whether a prior medical or psychological is required, but the clause states that they have a necessity to make sure the person is fit to have a gun. Essentially it's strongly recommended whether there needs to be a prior test, but idk of any member states which don't?

If you've got serious offences, can't have a gun. Etc etc.

Also establishes that guns need to be marked and those markings need to put in a (centralised or decentralised) database

It is necessary that Member States keep a computerised data-filing system, either centralised or decentralised, which guarantees to authorised authorities access to the data-filing systems in which the necessary information regarding each firearm is recorded. Access by police, judicial and other authorised authorities to the information contained in the computerised data-filing system must be subject to compliance with Article 8 of the European Convention for the Protection of Human Rights and Fundamental Freedoms.

So yeah. In the EU, there's not a "one size fits all" but there's a "you gonna have this many regulations to get on the ride"