They aren’t in the Schengen area but they have open borders with Italy, which itself is in the Schengen area. Schengen or not, it doesn’t really make sense to t

They aren’t in the Schengen area but they have open borders with Italy, which itself is in the Schengen area. Schengen or not, it doesn’t really make sense to talk about immigration in the Vatican since there’s no nationality and the Vatican can’t even issue visas.