There are many mobile only banks, some are good, some not so good.

For someone in Italy Monese is a good choice, it offers all the features you need for a bank and is a Euro account, so usable in the whole of Italy with ease.

The account comes with real-time notifications so you can keep track of your spending.    You can use the Monese app in English despite you being in Italy, so makes banking less of a chore.

If you use this link, you get some money when you first use the account, normally varies between 5 and 20 euros https://monese.app.link/ZpMlFpylE3?invite=FELIX866