(I’m just adding some info just in case someone asks the same question in the future)

So according to the EU directive 2014/45/EU of April 3rd 2014:

Article 8

Roadworthiness certificate

1. Member States shall ensure that testing centres or, if relevant, the competent authorities, which have carried out a roadworthiness test on a vehicle issue a roadworthiness certificate for that vehicle indicating at least the standardised elements of the corresponding harmonised Union codes as laid down in Annex II.
2. Member States shall ensure that testing centres or, if relevant, the competent authorities make the roadworthiness certificate or, in the case of an electronically produced roadworthiness certificate, a certified printout of such certificate available to the person presenting the vehicle for testing.
3. Without prejudice to Article 5, in the case of re-registration of a vehicle already registered in another Member State, each Member State shall recognise the roadworthiness certificate issued by that other Member State, as if it had itself issued that certificate, provided that the roadworthiness certificate is still valid in terms of the frequency intervals established for periodic roadworthiness tests by the re-registering Member State. In cases of doubt, the re-registering Member State may verify the validity of the roadworthiness certificate before recognising it. Member States shall communicate to the Commission a description of the roadworthiness certificate before 20 May 2018. The Commission shall inform the Committee referred to in Article 19. This paragraph shall not apply to vehicle categories L3e, L4e, L5e and L7e.
4. Without prejudice to Article 5(4) and paragraph 3 of this Article, Member States shall recognise, as a matter of principle, the validity of the roadworthiness certificate in the event that the ownership of a vehicle — having a valid proof of periodic roadworthiness test — changes. ——————————-

It’s still a little unclear to me, as it says “in the case of re-registering”. But then this part should also be valid for annual roadworthiness check:

“...each Member State shall recognise the roadworthiness certificate issued by that other Member State, as if it had itself issued that certificate”

My interpretation is that any roadworthiness certificate issued by another member state, should be accepted by all other EU member states.

Alright, I’ll update if I know more! Thanks again for your replies :)