Interethnic might be a better adjective.

As opposed to "interracial," if the cultural backgrounds are different. Asian-Americans who assimilate are the meeting places of two cultures -- at home it is their parents native culture, to an extent, in public it is usually the American proposition nation. There may be an interracial relationship between two people who have some sort of an Anglo-American cultural background. Even then, one might find some opposition on the part of the parents.

KoreAm: July Issue: Actress Diane Farr Dishes On Interracial Relationships

Her website. I linked to her CNN piece last week.