Trip update: went to the TIM shop at Gate B airside and purchased a sim + voice + data package all together for 20EUR. However, I was told the package allows 5GB of data but after 4 days of light usage it seemed my internet traffic has stopped (allowance exceeded?).
Also, connection in 3G Rome was intermittent, and I had to restart the phone now and then to get the internet back. Overall, not too bad but could be better.
Cheers