Only the ones that aren't on an AOC.
So, all the M registered(300+), probably most of the N, VP, etc.
What next,
yes, sometimes hard to get long time parking in Italy, but airport like LIML, LIRA and such will be hit.
I'm sure our aircraft will steer clear of Italy, unless really necessary(there are alternatives
) and I know of at least 2 others that will do the same(one of them staying in Italy quite often)