The Girl With the Dragon Tattoo will not be a sequel or continuation of the story from the books or the films into which they were adapted. It will instead take Salander and place her in today's world with a wholly new setting, new characters, and a new story.
The Girl With the Dragon Tattoo Next Episode
Sorry, no info about the next episode of The Girl With the Dragon Tattoo is available yet.
The TV show is either in vacation or waiting to start their new season. When information about future episodes becomes available, it will be posted here.