They join the previously announced cast that includes Jason Bateman, David Harbour, Linda Cardellini and Richard Jenkins.
Perfetti will portray Tiger Tiger and Sunday will play Jodie.
On screen, he next co-stars in the Dylan OBrien-led Sundance breakoutTwinless, which competed in this years U.S.
Chris Perfetti and Joy SundayPeixoto Elkins/Patrick Downer
Dramatic Competition and won the festivals Audience Award.
Perfetti is repped by Paradigm and Goodman, Genow, Schenkman.
The series will return for a second season this year.
Sunday is repped by Gersh, Asteria Artists and Del Shaw Moonves Tanaka Finkelstein.