Head Coach Bernard Jackman makes a total of four changes to the side that were defeated at Leinster Rugby for the big home encounter.
Robson takes the No.10 jersey for the visit of the Italians, to form a new-look half back pairing with scrum half Rhodri Williams.
Rosser – fresh from his five-try heroics against Connacht Eagles in the Celtic Cup – will also make his first appearance of the season, replacing the injured Hallam Amos.
Two changes in the pack see a call-up for lock Rynard Landman - who partners captain Cory Hill in the second row – while Ollie Griffiths returns in the back row.
Prop Aaron Jarvis could also make his first appearance for the Dragons after recovering from a bicep injury to take his place among the replacements.
Bernard Jackman said: “It’s a big game and we’re looking forward to it, but if we let Zebre play like they did for the last 20 minutes against Cardiff Blues then we will be chasing shadows.
“We have got to try and keep the ball off them. They are in the top two in offloads and defenders beaten. They take risks, run from their own 22 and throw offloads. They are a dangerous side and we are aware of their threats.
“We feel if we control the ball defensively we can expose them, but attack wise they are dangerous.”
Jackman has also called on his Dragons to have a killer instinct if they forge ahead to avoid any repeat of the away comeback in the last home game with Isuzu Southern Kings.
“We have got to build a lead first, but we do we have to kill games off and not become loose,” he added.
“There are moments in games that we need to control better. We’re not a million miles away from a really good performance and we hope it is Saturday afternoon.”