I admit I’m starting to wonder why many if not all of the asks regarding crossbreeding Alolan and standard variation pokémon have to do with the vulpix family. It’s rather surprising, given the popularity of meowth among breeders, sandshrew and geodude among trainers, rattata among pet owners, and diglett among those with impeccable fashion sense.
That aside, the answer is simple, anonymous: if one parent is an Alolan variation pokémon, the breed of the offspring will depend on where the egg spends most of its time incubating. If the egg is laid and hatched in Alola, then it will be an Alolan pokémon, except in certain circumstances outlined here: http://bills-pokedex.tumblr.com/post/158328002265/hey-bill-what-do-you-think-would-occur-if-a
The Pokédex According to Bill 