The fourth Millennium novel, The Girl in the Spider's Web, was released to much hype earlier this year. Written by Swedish author David Lagercrantz, it was the first book in the series not penned by its late creator Stieg Larsson himself.
According to US website Hollywood Reporter, Sony Films are already in talks with British director and writer Steven Knight to adapt the international best seller to the big screen.
International media were reporting on Friday that Swedish shooting star Alicia Vikander is one of the names rumoured to be the producers' favourite to step into Salander's shoes.
The original Millennium series, which chronicles the adventures of tattooed computer hacker Lisbeth Salander and journalist Mikael Blomkvist, made Larsson one of the world's best-loved crime writers.
His work has also been adapted into film versions of the series, in both Swedish and English.
But Larsson's fame came posthumously, after his death of a heart attack in 2004, a year before the release of the first book in the series, 'The Girl With the Dragon Tattoo'.
Director David Fincher's English language adaptation of the crime novel, which was shot on location in Stockholm, hit box offices across the world in 2011, starring Daniel Craig and Rooney Mara.
Swedish actress Noomi Rapace played Lisbeth Salander in the Swedish adaptations of the books.
Rooney Mara, left, and Daniel Craig shooting 'The Girl With the Dragon Tattoo' in Sweden. Photo: Fredrik Sandberg/TT
Lagercrantz is already planning another two sequels to his book.
While many Nordic Noir fans have celebrated the continuation of the series, some – including Larsson's longtime partner, Eva Gabrielsson – vehemently opposed Lagercrantz taking up the torch.