The 69-year-old has worked with Mortensen in a number of films, and with Pattinson for the first time on "Cosmopolis".
"Viggo and I are kindred souls. We love each other in a very personal way and we keep in touch all the time. Rob is a lot younger but I believe him when he says that he wants to do something else with me," contactmusic.com quoted Cronenberg as saying.
"He (Pattinson) and Viggo would be great in a movie together. They'd get along fantastically and the energy between them would be fantastic," he said.
Photos: Salman Khan returns from Jodhpur to Mumbai
Pics: Sidharth Shukla-Rashami Desai's sizzling chemistry at TV show launch
Ooh La Lana! WWE Diva flaunts sexy curves in these 30 pictures
15 'peach' perfect photos of Priyanka Chopra at People's Choice Awards 2017
62 going on 16: These photos of Rekha prove she is 'forever young'