Muscadines, as others have stated. I'm not sure what variety, probably Paulk or whatever other varieties Paulk Vineyards is growing predominantly. At least where I live, I never see anything other than Paulk branded muscadines, doesn't matter what grocery. The last decade or so, I've seen muscadines in at least half a dozen (maybe a dozen) different grocery chains in three states; I can't recall ever seeing a brand other than Paulk. At least they're great tasting muscadines.
My question is: How were these fruits labeled at the Asian supermarket?