They are mainly selling Italian goods (gelato, baked goods, pasta and other products imported from italy or that are italy styled.)

After looking at the tags, I did see shop=deli since, according to wikipedia, it is "fine, exotic, or foreign prepared foods", which I don't think it is too much fine or exotic, but some of it is definitely foreign prepared.

There is also the "tag" that can be user defined, but even there I don't have any more ideas for the tag.

However, I also "noticed" that the name is Epicerie Alimentari, which "Épicerie" is french for Grocery. However, I did not see a tag for shop=grocery, even though it might not be a perfect fit for what it is.