Director Martin Scorsese "has upset the family of Frank Sinatra with plans for a biopic focusing on the singer's alleged mafia links and the less salubrious activities of the Rat Pack" as reported by Anita Singh for the Telegraph:
Tina Sinatra, the late star's daughter, is said to be unhappy with the "dark direction" of the film's script and wants a more "sanitised" version of her father's life story. Scorsese, the Oscar-winning director who has made several gangster films including GoodFellas and Casino, was announced as director of the project in May. * * * The FBI kept a file on Sinatra for decades, detailing his personal affairs and his friendship with various Mafia figures in Las Vegas. The star, who died in 1988 after a career which encompassed 1,400 musical recordings and dozens of film appearances, provided the inspiration for one of the most famous mafia movie scenes. Author Mario Puzo used Sinatra as a template for singer Johnny Fontane, a character in The Godfather. In the book, and subsequent 1972 film, a Hollywood executive who failed to cast Fontane in his latest release found a horse's severed head in his bed. The character was based on Sinatra but the horse's head scene was fiction, according to his daughter.
Anthony Bruno from truTV has the extensive story on "Frank Sinatra and the Mob":
Even if Sinatra wasn't a criminal himself, he certainly knew plenty of criminals and considered many of them good friends. Despite his denials, year after year, evidence piled up indicating that Sinatra enjoyed a very special relationship with the Mafia. * * * The record shows that Sinatra's relationships with known mob figures were often more than just casual meetings with fans. He performed in clubs and theaters controlled by the Mafia. He made investments with mobsters. He used his status as a celebrity to make requests on their behalf—all the way to the Oval Office in one instance. He hosted men of honor at his home, at his hotels, even at his mother's home. He apparently valued their company as much as they valued his, and if he publicly chafed at being tarred with the Mafia brush, he often used his gangland veneer to instill fear and respect on his late-night romps in the "wee small hours of the morning."