Do I tip in Italy?

Not the way you do at home — there's no percentage, and nobody's income depends on it. Servers are salaried. If the meal was good, round up or leave €1–5 in cash on the table; for an exceptional dinner, €10 on a €100 bill is generous, not expected. Leave it in cash even if you pay the bill by card, because a tip added to the card usually goes to the house, not the person who served you. Don't tip at the bar for a coffee. Tipping American percentages doesn't read as generous so much as a signal that you don't know where you are.