Farrell got the offer last week and is expected to accept.
He will play a man battling recurring dreams of a trip to Mars.
The role was first played by Arnold Schwarzenegger in the original 1990 pic.
It was a huge blockbuster hit
Farrell will give the film a very different look than Arnold's all action hero.
The "Total Recall" remake will be directed by Len Wiseman
Farrell's next movie is Peter Weir's "The Way Back" , due for release Jan. 21.