Breed-specific legislation, the kind that restricts ownership of particular animals, overwhelmingly targets dogs rather than cats, and there are no widespread laws that single out the Bambino by name for ownership bans. For most owners in most places, keeping a Bambino is legally no different from keeping any other domestic cat.
Where the law does touch the breed, it is usually through regulations on breeding rather than ownership. Several jurisdictions have introduced or debated rules that restrict the deliberate breeding of cats with certain extreme physical traits, including hairlessness and dwarfism. Because the Bambino combines both, it can fall within the scope of such measures in places that have adopted them.
These breeding regulations are typically framed around animal welfare and conformation rather than around the breed's name. Their existence and content vary considerably from country to country, so anyone intending to breed Bambinos in particular should check the specific rules that apply where they live. This page presents the landscape factually and does not advocate for or against any particular regulatory approach.