The Atletico Madrid striker has been handed an international headache after the Selecao named him in their squad while he mulls over the possibility of representing Spain
The Brazilian-born striker has previously expressed his desire to play for his adopted country, Spain, with Selecao coach Luiz Felipe Scolari prompting him to make a decision.
The 25-year-old has made two appearances for his native country in March, friendlies against Italy and Russia, but Fifa granted the Spanish Football Federation permission to call up Costa after he was granted Spanish nationality during the summer.
Brazil will participate in two friendlies in North America in November, and Scolari has stayed true to his word, calling-up the striker with the hope that it swings the decision process in his favour.
Costa has spent the past five seasons playing his club soccer in Spain, and has scored 10 goals in nine La Liga games for Atletico Madrid this season, while adding two in his only Champions League appearance.
Along with Costa, the CBF also announced Dani Alves, Hulk, Lucas Leiva and Marquinhos will be travelling with the Selecao on their tour.
Brazil will take on Honduras at Sun Life Stadium in New Jersey, USA on November 16, before facing Chile three days later at the Rogers Center in Toronto, Canada.