Are there any special rules for transporting domestic pets from Hong Kong to Spain

We already have a holiday home in Spain but later this year we have to move to Hong Kong for a maximum of three years due to husbands work, when the contract finishes in HK we plan to come to Spain to live after retirement with our dog and cat, they will both have an E.U pets passport.

Are there any quarantine regulations or rules in bringing these pets to Spain?

Thankyou, in anticipation Susanne