Ireland's Jordan Larmour busts through the Italian defence. Photo: Getty
Schmidt fielded an experimental team missing many of the players who won the Six Nations Grand Slam this year and the Italians made it tough in the opening period, despite Beirne grabbing his first try in the third minute.
Scrumhalf Luke McGrath, centre Garry Ringrose and substitute hooker Sean Cronin all touched down for Ireland, with Joey Carbery adding five conversions and Ross Byrne two as the Irish led 14-7 at the break before running riot in the second half.
Italy captain Michele Campagnaro intercepted a wayward pass by Rhys Ruddock and sped away for a first-half try for Italy that was converted by Carlo Canna, but the Irish proved far too strong in the second period as they cruised to a big win.