Deadline reports that Sony is moving forward the two sequels to David Fincher's The Girl With The Dragon Tattoo. Screenwriter Steve Zaillian has finished scripts for both The Girl Who Played With Fire and The Girl Who Kicked The Hornets Nest. However, Fire will end up getting massive changes to include Lisbeth (Mara) as more of a central characters. Rooney Mara and Daniel Craig are apparently locked in for the two sequels. David Fincher on the other hand has yet to sign on to return in the director's chair. They say that shooting could start by the end of 2012 or early 2013. Fincher previously stated that the films could shoot back-to-back if they were greenlit.
It's very likely that David Fincher will return for the sequels as he's been mentioning his involvement in the trilogy since day one. I'm sure it will all come down to budgets for the two productions and creative control before his signs on. There is zero mention of Trent Reznor and Atticus Ross returning but considering the buzz the score and cover songs did for the film. I would be shocked if Fincher/Sony didn't ask them to come back as well. I assume the the big rewrites are also to further distance the Fincher films from the Swedish movies.