My purpose money transfer from the account into the account, creation of virtual cards for safe work on the Internet, replenishment of mobile accounts and etc.
Even though it is still not clear to me what you want to do with italian banks, you might want to give a look at
www.fineco.it and others banks already suggested in this thread by other italian users.
It looks like english is not your first language... I hope you can deal with italian, because the majority of italian bank web sites are italian language only.
Should you need further info, feel free to ask.