Brandao, who spent two seasons with his former employers, also has an additional one-year option in his contract.
The 34-year-old forward hit 16 Ligue 1 goals in his time with Saint-Etienne, with Bastia set to become the third club he has represented in the French top flight.
A brief return to Marseille followed before the striker moved on to Saint-Etienne.
Brandao will join up with Claude Makelele's squad as they look to improve upon their 10th-place finish last season.
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