In Bologna we also took in the Medieval Museum and tried to get to the City collection;
we just missed the entry time but ended up having a nice conversation with the ticket-taker; mostly in Italian! Much of our time that day was taken up by trekking through a gigantic open-air market and questing for a reccomended gelato place, which was well worth the walk;
Dried fig with honey plus lemon! Amazing!
We had a long 12-hour day to take advantage f the "slow train" prices, but it was worth it to have 2 meals in Bologna, even though the second one was apertivo.