Mel Gibson, Jonathan Levine and Ruben Fleischer are among the directors being considered for Suicide Squad 2.
Warner Bros is courting the actor-director and no official offer has been made nor has any commitment, according to The Hollywood Reporter.
Sources say that Gibson, 61, is familiarising himself with the material. But the studio has not taken a call yet and is also looking at other directors, including Daniel Espinosa.
David Ayer wrote and helmed the first film, which featured an all-star cast that included Will Smith, Margot Robbie and Jared Leto.
The movie faced some initial hurdles during production and was met with the somewhat polarising response, but grossed USD 745 million worldwide.
Suicide Squad revolved around villains such as Deadshot, Harley Quinn, the Joker, Captain Boomerang and Killer Croc, who are forced into the service of the government in exchange for lighter sentences.