Movement of dogs, cats and ferrets from EU countries (incl. the Greek Part of Cyprus)
The following rules apply if you have been traveling abroad with your dog, cat or ferret and are returning to Sweden, if you buy a dog, cat or ferret for yourself abroad or if you buy a dog, cat or ferret abroad and intend to sell the animal in Sweden.

The following rules apply if you have been traveling abroad with your dog, cat or ferret and are returning to Sweden, if you buy a dog, cat or ferret for yourself abroad or if you buy a dog, cat or ferret abroad and intend to sell the animal in Sweden.

• Your animal must be ID-marked with a chip.
• The animal must be vaccinated against rabies.
• An animal that is brought into Sweden from another EU country must have an EU passport for pets. The EU passport must be issued by a veterinarian.
• If you are travelling from another EU country and have an animal with a European pet passport with you, you can give Swedish Customs notification of dogs and cats via the internet.

More Details can be found here