The Hungarian Veterinary Authority is prepared for the arrival of companion animals (not microchiped, unvaccinated, without a blood test) arriving in Hungary with their owner and not complying with the current applicable veterinary regulations. In order to ensure a smooth entry, the national chief veterinarian has ordered the completion of a simplified registration form.
Hungarian / Ukrainian / English version available and document has to be completed
https://portal.nebih.gov.hu/-/magyarorszag-biztositja-hogy-az-ukrajnabol-menekulok-magukkal-hozhassak-tarsallataikat
At present, strict conditions apply to animal husbandry in Hungary, and all animal owners are liable for the damage caused by the animal.