He/She should check everything as in the U.K. but also to ensure the following:-
The property is registered under the sellers’ name in the Land Registry and there are no charges registered or pending registration against the property. The description in the Land Registry should also match the actual property and the boundaries of the site are clearly and correctly defined.
It was legally built and has a habitation licence.
It is registered with the Catastral (rates) office and the Town Hall and that all payments are up to date.
Similarly regarding water, electricity and telephone etc.
Are there any community charges to be paid and if so are they up to date.
Any locall plans in place or being prepared which may affect the property.
Whoever is signing on behalf of the seller has a legal power of attorney to do so if he/she is not the actual owner.
No doubt others will add anything I have missed.
Good Luck
Terry English