Previously announced cast includes Kyle Chandler as Mark Russell, Ziyi Zhang as Dr. Chen and Millie Bobby Brown as Madison Russell.
The Oscar-nominated Bichir recently starred as Father Burke in The Nun, the latest installment in The Conjuring Universe.
The cast also includes the recently announced Brian Tyree Henry (Atlanta), Julian Dennison (Deadpool 2) and Danai Gurira (The Walking Dead, Avengers: Infinity War).
His past credits also include The Hateful Eight, Machete Kills, A Better Life, and Alien: Covenant.