Looking to build on their win against Wales, the Azzurri made a fine start when Tommaso Menoncello burst through a frail visiting midfield and finish in style but ruthless France hit back quickly with forward tries through Mickael Guillard and Peato Mauvaka.
Orchestrating play with precision and intelligence, Dupont then set up a try for Barre before the visitors switched to their power game for their next score with Gregory Alldritt storming over.
Dupont created space for Paul Boudehent to maraud over, registering the bonus point in the process and, after a breathless first half hour, France led 28-17.
France brought on six fresh forwards from the seven-one split on their bench but wing Bielle-Biarrey was the next to strike as Italy's defence started to crumble.
Italy felt the full force of a French backlash as Antoine Dupont orchestrated a 73-24 Six Nations victory in Rome.