At this time, it is unclear which of the two roles she will take. In the original, Sharon Stone played Lori, the dutiful wife (and spy) of Douglas Quaid (played here by Colin Farrell). The other female character was named Melina, as played by Rachel Ticotin, who helped Quaid join the Resistance in the fight for the production of air on Mars.
http://movieweb.com/total-recall-eyes-kate-bosworth-and-diane-kruger/Last month, it was believed that Kate Bosworth and Diane Kruger were in the lead for these two roles. Those actresses are still being considered for the other female lead.