Sorvino said on Twitter that she "burst out crying" when she read Jackson's remarks, calling them "confirmation that Harvey Weinstein derailed my career, something I suspected but was unsure".
Jackson has revealed he showed interest in hiring Mira Sorvino and Ashley Judd to work on the Lord of the Rings films while pitching to Miramax in the late 1990s, but was advised to avoid working with them.
"If we were unwitting accomplices in harming their careers, Fran and I unreservedly apologise to both Ashley and Mira."
"I now suspect we were fed false information about both of these talented women - and as a direct result their names were removed from our casting list", he added.
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"My experience, when Miramax controlled the Lord of the Rings [before New Line took over production of the film], was of Weinstein and his brother behaving like second-rate Mafia bullies", Jackson said.
According to Peter Jackson, the director of the Lord Of The Rings films, Harvey Weinstein deliberately told him not to cast Mira Sorvino and Ashley Judd due to their allegations of sexual harassment.
In the statement released on Friday, Weinstein's rep adds: "Until Ashley Judd wrote a piece for Variety two years ago, no one at the Company knew that she had a complaint and she was cast in two other films by Mr. Weinstein and Mira Sorvino was always considered for other films as well".
Both actresses were among the first to publicly accuse Weinstein of sexual misconduct. "This was probably in 1998".
Jackson told Stuff he thinks Harvey Weinstein's warning not to work with Mira Sorvino or Ashley Judd may have been part of a smear campaign against the two actresses.
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Meanwhile, Weinstein denied the allegation, through a spokesperson and said, "They were executive producers of the film, they had no input into the casting whatsoever".
He remembers Weinstein and his brother acting like "second-rate Mafia bullies" during the early stages of the "Lord of the Rings" films, he told Stuff. "They weren't the type of guys I wanted to work with - so I haven't", he said. To not continue and star in their movies much past that doesn't make sense.
She took to Twitter to express her views on the allegations, Sorvino wrote, "Just seeing this after I awoke, I burst out crying".
In these film maker/studio relationships, there has to be consensus in casting choices - either side can generally veto suggested names for various reasons, and in pre-Lord of the Rings days, we didn't have the power to override the studio on casting choices.
Both Judd and Sorvino have thanked Jackson for speaking out about Weinstein.
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In a following statement, Jackson said aspects of Harvey's denial were "insincere".