In 2001 one of Harris' novels Enigma was made into a film of the same name and featured Titanic star Kate Winslet.
The 73-year-old Polanski won an Oscar in 2003 for directing the Holocaust drama The Pianist.
He has been unable to make films in Hollywood since skipping the US after a 1977 conviction for statutory rape.
The Sunday Times said the film would cost £100 million — reportedly the most expensive film ever made in Europe.
Oscar-nominated Spanish actress Penelope Cruz is to star in the new Woody Allen film, to be shot this summer in Barcelona, a representative of the film's production company said on Friday.
"They (Allen and Cruz) met in New York a couple of months ago and the news has got out," Jaume Roures of production company Mediapro told state radio. "If anyone needed a confirmation, this is it."
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