The director has been working with his Slumdog Millionaire screenwriter Simon Beaufoy and producer Christian Colson to bring King's life story to the big screen in a film that will focus on her famous Battle of the Sexes win over former men's world number one Bobby Riggs in 1973, according to the New York Post's Page Six column.
A source tells the publication Boyle was in talks to take charge of the project last year (13), when he attended the London premiere of a King documentary prior to the 2013 Wimbledon Championships.
The insider says, "No one could figure out why Boyle was there. (But) he and Simon then met with King, and they're all meeting again in New York to work on the script."
The latest meeting is expected to take place this week (begs17Feb14) before King heads back to Sochi, Russia to represent the U.S. delegation at the Winter Olympics closing ceremony on Sunday (23Feb14).