I was thinking about applying for Bocconi before looking at their fees..(milan is an expensive city and 8800 euro is a little bit too much for me for a university in my own country ;-))..first of all i should say that it is very prestigious but mostly for their economic deparment, in particular "Economia aziendale" is the best degree you can find there. I heard they have a degree taught in english as well.
As for Bocconi being the best italian university, sorry that is not true..depends on what you want to study.Bocconi is a private university, so offers you small classes and it is easy contacting a teacher after a class.
Other universities(private and prestigious) are for example Luiss for their politics department, or Cattolica for medicine.
Our private universities are expensive(not more than your pubblic ones) but they have smaller classes and of course the teachers are more supportive.As for the pubblic universities, they are huge(thinking about la sapienza which I heard has almost 135.000 students), and yeah try to contact a teacherXD..won't be that easy(brrr i would never go to sapienza XD)
^_^