The reality TV queen is in talks for the role, which would star her as the daughter-in-law of legendary Gambino boss John Gotti, according to US weekly. Travolta has signed on for that role in the film, which is being produced by Junior Gotti and is based on a book he wrote.
"Kim is in talks to do the movie," a source told the magazine.
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Kardashian's resume is a bit light on dramatic roles, however. She has guested on TV's CSI: NY and played a cheerleader alongside Vanessa Minnillo in 2008's big-screen spoof Disaster Movie.
Nick Cassavetes, who wrote "Alpha Dog," is currently rewriting Gotti's script and would direct the biopic, according to TMZ.com. Cassavetes is the son of late actor and pioneering indie film director John Cassavetes.
Travolta, Gotti and a host of hangers-on and Hollywood types met at an LA restaurant to talk about the project, and Travolta reportedly agreed to bring Gotti, who died in prison in 2002, back to life. Travolta, 56, could be joined by Oscar nominee James Franco, who is under consideration to play Junior, according to Fiore.
Gotti, whose double-breasted suits and ubiquitous diamond studded watch earned him the nickname "The Dapper Don," was convicted of 13 murders and a long list of other crimes in 1992.
Junior Gotti, 46, sold the rights to his screenplay to Fiore last year. The Gambino leader's son was himself tried four times since 2005 for racketeering, with each trial ending in a hung jury. He was released from prison in December, 2009, after serving nine years in a previous racketeering case. He has said he left organized crime in 1999.
"This is not a movie; this is part of American history. We have the exclusive story for first time ever told by John Gotti Junior and his family," Fiore said. Fiore's website says the movie will have a budget of $15 million.
Last year, in a rare interview with The Associated Press, Gotti said he would be very involved with the making of the film.
"It's going to be filmed in New York, I've been working on it in New York, we can be an active player in the situation from start to finish," Gotti said. "They were willing to hear my thoughts and they assured me the script would be absolutely accurate, the script would be fair.
"This is not a mob story. That's one misconception," he continued. "This is a father-son story."