Schools in Italy only went back in some regions on Monday and in others next Thursday. That will be telling. Though masks will be mandatory I believe.
Tests are easy to get, teachers and school staff have all been invited to have one.
And yes, while there are idiots everywhere, there just seems to be more general compliance with the few, but non negotiable rules.
Masks on outdoors where SD isn't possible between 6pm and 6am, masks on indoors in shops etc, or you don't get to go in. Ditto public transport.
You have to leave forwarding details in restaurants etc.
I think there will be local further restrictions as/if cases go up. Nightclubs were closed in August after reopening in July because they are massive venues and 3000 people can't SD even if in summer all the venues are outside.
The Italian govt is worried, we are constantly bombarded by the "just keep being sensible" message. Kids are desperate to return to school so are being careful.
A colleague teaching in the north (I'm in the south) has blended learning in his school, half in class, half participating online. I've seen the preliminary reports from my and dd's school and it's all in place for the same should it be necessary. Hopefully not.