The Brazilian is leaving the Gunners as his contract expires at the end of the month.
Luiz has already met with Marseille coach Jorge Sampaoli in Rio and received a two-year contract proposal from OM supremo Pablo Longoria.
Maurice and Rennes are now drawing up a two-year contract offer for Luiz's consideration as the veteran considers his next move.
By accepting an offer from Rennes or Marseille, it would mark a return to France for Luiz. The stopper enjoyed two successful seasons at the Parc des Princes before returning to Chelsea for a second time in 2016.
- updated June 21