It will be directed by Eastwood and stars Damon as former Springbok captain Francois Pienaar.
"It is indeed exciting,” Pienaar said. “My wife is quite pleased that they picked Matt Damon."
Meanwhile, Freeman will launch Carlin’s book in New York next month.
Carlin refused to divulge details of the script, but said: "My book covers a time span between 1985 and 1995 — essentially about Mandela’s political genius in getting white South Africa completely into the great project, and getting black South Africans to support the Springboks.
"The country was in an extremely volatile condition in Mandela’s first year of presidency. There were a lot of right-wing threats of terrorism; the country could have gone either way."
Pienaar said he had indeed been approached to meet with Damon to help him prepare for the role. He said no time frame had been set for the meeting yet.
SA Rugby CEO Johan Prinsloo told The Times the rugby body had not been approached by the filmmakers to use any of the local stadiums or the Springbok brand.