Bowie has acted in several film and television projects during his career, most recently in 2008 movie August and Christopher Nolan's The Prestige (2006).
Showrunner Bryan Fuller told E! News that he has approached the musician, saying: "We have reached out to David Bowie to see if he's interested and available.
"We would love for him to play Hannibal's uncle, who is a character from the literature and in the books."
Fuller also discussed the second series, saying that the books will be used as a launch pad and won't be followed heavily. "We're going to see Will Graham institutionalised and what we know from Red Dragon, the backstory that is given, which is very, very thin," he revealed.
"It explains that Will Graham was so psychologically compromised from investigating the Minnesota case that he had to be institutionalised. And that's sort of one sentence that we can do quite a bit with."