Building on this, the vaccination programmes of the EU countries have converged to the extent that I was able to vaccinate my 3 month old in accordance to the Swedish vaccination programme while on vacation in Portugal by just showing up at a health centre and asking for a vaccination in accordance to their vaccination programme.

They even use the same vaccines.

If you are younger than 30 you will have had a polio vaccine if you parents followed the national vaccine programme in any European country. If you are younger than 50 chances are that you have been vaccinated as well.