However the win at the Stadio Olimpico proved to be something of a false dawn as this was followed by defeats to Scotland, Wales and England.
But Italy ran England close at Twickenham on Sunday despite losing 18-11, the Red Rose failing to score a try against Italy in the first time in their history.
And Ghiraldini believes this shows that with a little more confidence Italy can end their RBS 6 Nations on a high as they host Ireland on Saturday.
"Sometimes we put ourselves under pressure, but we need to keep believing in our game and be confident," he said.
"We need to be cautious of the fact that we can make things difficult for other sides and win matches."