とつきにの少女

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An OVA bundled with the limited edition 8th tankoubon volume of the manga.

In a world split between the Inside and the Outside, those living in both realms are told never to cross over to the other side, lest they be cursed. A young girl named Shiva lives on the other side, in a vacant village with a demonic guardian known only as “Teacher.” Although the two are forbidden to touch, they seem to share a bond that transcends their disparate appearances. But when Shiva leaves Teacher's care to seek out her grandmother, the secret behind her mysterious living arrangement comes to light.

(Source: Seven Seas Entertainment)