Internet - one place near train station
If you need to use the internet in Brindisi there is pretty much only one place to go. It is one street away parallel to the train station entrance. There is a big blue canopy over the entrance that says internet. Be prepare to have your passport photocopied as apparently there is a law in Italy or at least in Brinidisi that requires internet cafe proprieters to be able to tell police within the last two years who used a specific computer and at what time or be subject to a fine.