Wales are narrowly in front after 40 minutes in Rome.
Leigh Halfpenny has kicked three penalties, but missed one more - with Kris Burton slotting two in reply for Italy.
Heavy rain made attacking rugby very difficult, and contributed to an error-strewn first half.
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The Pro 12 season kicks off this evening with the Dragons and Ospreys both travelling to Ireland for their opening fixtures.
Use of plastic carrier bags has dropped by almost 75 per cent since the charge was introduced, according to a new report.
Wales manager Chris Coleman has told fans to get carried away by their success - even if his players have no plans to celebrate just yet.