Victory over Ireland, which came courtesy of a try from wing Giovanbattista Venditti as well as 14 points from the boot of Luciano Orquera and three from Gonzalo Garcia, means Italy end the RBS 6 Nations in fourth place, having achieved two victories for the first time since 2007.
And while challenging for the title may still be some way off, Brunel insists victory over Ireland highlights the continued progress of Italian rugby.
"With this victory we showed we were capable of producing some continuity," Brunel said.
"We've shown a good level to our game in this Six Nations. We are a work in progress, but we have shown character and spirit.
"At times there was a lot of composure to our game and that shows we are on the right track."