Hannibal is continuing to court David Tennant as season 3 begins. Hannibal is continuing to court David Tennant as season 3 begins. 'Hannibal' Season 3 Filming Dates Announced, Will NBC Series Shoot Over Seas? One of the many guest actors series creator Bryan Fuller would love to see grace his psychological thriller, Tennant was a prospect for season 2 and continues to remain one as production ramps up for season 3.