As posted on IMDB.com Liv is rumoured to be in negotiations for a new movie called “Neuromancer”, due to come out in 2011. From DenOfGeek.com:

William Gibson’s seminal 80s SF thriller has been green-lit more often than a black cab, and it’s anyone’s guess as to whether the latest attempt by Joseph Kahn will actually make it to the big screen. Hayden Christensen is attached as the lead. Peter Hoffman, who has a credit as ‘presenter’ in the not-so-successful 1995 adaptation of Gibson’s Johnny Mnemonic, is producing, with a budget currently reported at $70 million. Liv Tyler is also rumoured to be attached. Neuromancer deals with a disgraced hacker who has been physically disabled from interfacing with any computers in the future society he lives in. He’s rescued by a mysterious Samurai benefactor who temporarily cures his disability but implants him with Escape From New York-style ‘poison sacs’ before sending him on a new mission (Gibson has talked about how Neuromancer sprang off from some early lines in John Carpenter’s 1980 SF-thriller).

And on IMDBPro:

Rumored that Liv Tyler is in negotiations for a role

We will just have to wait and see for more news to come before we can conclude that Liv is definetly attached to this movie opposite to Hayden Christensen.