In my family punch is the typical after lunch at Christmas time.
We can have either ponce al mandarino or ponce al rum.
Ponce al rum is a mix of coffee and rum, with sugar and orange peel.
But please don’t say that to someone from Livorno.
In Livorno, ponce, is a religion. Historically, it was inspired by the punch, very popular among the British community living there in the XIX century. But don’t say that to them.
Ponce alla livornese, is a hot beverage made with coffee, rum, or rather rumme [‘ru:mme] in livornese and other liquors.
(See also “I miss Italian hot beverages 1 – 2”