As with most pet insurances there are some conditions:

For dog insurance in Spain, you are unlike to get cover if your dog is the type of dog that should be registered on the Dangerous Dogs Act 1991 or types known as Pit Bull Terrier, Japanese Tosa, Dogo Argentino, Sharpei, Fila Brazileiro, Wolves of Wolf hybrids will not be accepted for cover.
Also if you dog is used as a guard dog or for racing, no matter the breed, you might be exempt.

Another thing that many pet owners coming to Spain might not be aware of is the fact that your pet will not be covered for Leishmaniasis, also known as sand fly disease. Pets suffering from this can live quite long, but only if they are being treated with various medications.

Also to avoid be exempt for cover, you must also arrange for your pet to be vaccinated against the following and to keep up the vaccinations.
Dogs: Distemper, hepatitis, leptospirosis, parvovirus and rabies.
Cats: Feline infectious enteritis, feline leukaemia, cat flu and rabies.

Most animal insurances cover more or less the following:

Veterinarian’s fees
Boarding kennel and cattery fees
Reimbursement of Advertising Costs if your pet gets lost/stolen
Loss of Pet Passport & Health Certificate
Death from Accident