Stade posted the signing on their website(stade.fr).
The Fiji-born 27-year-old has scored five tries in 10 appearances for the Wallabies and played off the bench in the team's last test against England in November.
But he has struggled to nail down a regular spot in Michael Cheika's side since his debut against South Africa in Pretoria in 2016.
He joins a number of Wallabies heading to Europe after the World Cup, including Nick Phipps, Adam Coleman and Rory Arnold.
Naivalu joined the Reds this season after four seasons at Australian Conference rivals, the Melbourne Rebels.
(Reporting by Ian Ransom; Editing by Greg Stutchbury)
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