Водительские права-те что получены в Бельгии путем обмена. При переезде скажем…

Вот что пишут здесь https://europa.eu/youreurope/citizens/vehicles/driving-licence/driving-licence-e...

A driving licence issued in a non EU country?

Some EU countries may recognise licences issued in a number of non-EU countries. If you have an EU driving licence that was issued in exchange for a non‑EU licence, and you wish to move to another EU country, you should be aware that your new licence may not be recognised there. (то есть, могут признать ваши обменянные права, а могут и не признать - зависит от новой страны)

Check the conditions for recognising non-EU licences with the local authorities in your new country.

Sample story

Angeles is a Chilean who moved to Spain a few years ago. As Spain recognises Chilean driving licences, Angeles was able to exchange hers for a Spanish one after fulfilling some administrative formalities.

Angeles is free to drive in the EU with this new licence. However, if she moves from Spain to another EU country, she will have to check that the authorities there recognise her Spanish licence.

If the new country recognises the original Chilean licence automatically, she will be able to continue driving with her converted Spanish licence. If not, she may have to have her Chilean licence formally recognised or exchanged in the new country.