How did the French occupation of Rio de Janeiro end in 1567?

The French occupation of the area around Guanabara Bay, known as La France Antarctique, was brought to an end through a sustained military campaign led by the Portuguese.1

In 1565, Estácio de Sá, the nephew of the governor of Brazil, Mem de Sá, established a base between Dog Face Hill and the Sugar Loaf to begin the effort to expel the French. This initiated two years of intense, bloody conflict. The French presence, which had previously seen the destruction of their Fort Coligny by Portuguese forces in 1560, was finally defeated in 1567. Although Estácio de Sá was killed during these final battles, the Portuguese successfully expelled the French, allowing Mem de Sá to establish a new site for the town of Rio de Janeiro farther inland.12