No obligatory veterinary border checks are required for dogs and cats, small domestic animals and riding horses if they comply with the following regulations:
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Dogs and cats require an inoculation against rabies (lyssa), which has to be done not less than 30 days and not more than 12 months before entry. Muzzle and leash is needed for dogs.
Up to two other domestic animals, such as rabbits, guinea-pigs, and small birds can be taken per person.
Riding horses from a European Union member state require a vaccination certificate issued and signed by a licensed veterinarian. If you take a horse from a non-Union territory then you must bring a "Carnet ATA" and allow it to be examined at the border by a veterinary surgeon. For this reason entry with a riding horse is only possible upon prior notice.