The exterior is stucco and tile. The interior has to continue that argument without repeating it. The interior has to continue the same argument without repeating it, and that is harder than it sounds.
Mediterranean home construction materials come from a short list used consistently. Stucco for walls. Clay or concrete tile for roofs. Natural stone for accents and floors. Wrought iron for railings and gates. Exposed wood for beams. Terracotta for floors and detail.
Clay tile roof cost sits well above what most American homeowners expect, and the gap is not a markup. It is weight, labor and the underlayment system that heavy tile demands.
Mediterranean stucco is a cement-based wall finish applied over a substrate, and the version that reads correctly is a three-coat system. Scratch coat. Brown coat. Finish coat. Each layer cures before the next goes on, and the whole assembly takes days rather than hours.