If you run out of things to do in Verona, it's only an hour's train ride to Venice. Add the shallots and cook, stirring, until they soften, about 2 minutes. Add the rice and stir to coat the grains well with oil and butter. Allow to cook for another few minutes, still stirring. Add the radicchio and mix well.
Risotto requires a bit of attention.
Start adding the wine, a half cup at a time. After each addition, continue stirring until the liquid has been absorbed - then add the next half cup. After the wine, continue the same process with the stock. The process should take about 20 minutes, at which time the rice will be firm but sort of creamy. Remove from the heat and add the remaining tablespoon of butter, the cheese, parsley, and then salt and pepper to taste.