Two films based on Bergdahl's experience as a prisoner-of-war are in the pipeline.
Deadline reported Monday that Bigelow and Boal have been "tracking the story for several years with a possible movie in mind."
In a separate project, Todd Field (Little Children) will direct a Bergdahl film for Fox Searchlight, which required the rights to Rolling Stone's 2012 report, "America's Last Prisoner of War," written by late journalist Michael Hastings.
Bergdahl, who had been held captive by the Taliban in Afghanistan since June 2009, was traded for five Guantanamo detainees and released back in May. He arrived in Texas last week.