Paramount will release the film on the pre-Halloween weekend of Oct. 22, pitting it against Lionsgate's next installment in the Saw franchise.
In a symbolic twist, Heat Vision notes, Greutert made his directorial debut on the sixth Saw film.
"These guys get it, and the fans won't be disappointed," said Peli of Perry and Greutert's participation.
Perry is a longtime TV writer-producer (Millennium, The Guardian) whose spec feature script, The Voices, landed in the third slot on the 2009 Black List.
Greutert was the editor of the first five films in the Saw series before directing last year's sixth edition.