The two teams meet at the Stadio Olimpico in Rome on February 23 having both won and lost one of their opening two matches.
"Gone are the days when you turn up there, put your kit on and get the result," Biggar told Sky Sports News. "It's a hugely difficult place to go. You can tell that by Italian club rugby.
"They've got one of the greats of the game in Sergio Parisse. He's a real talisman for them so there's a lot of pressure on us going there to keep this run, this momentum going because they're a great side."
Italy's last victory over Wales came back in 2007.