In the second statement, the Versace family repeated its assertion that, due to their lack of involvement, the show should "only be considered as a work of fiction".
The statement concludes by praising the fashion designer while further insisting that American Crime Story does not have the family's blessing.
The family of Italian designer Gianni Versace has distanced itself from a long-awaited USA television series about his violent death.
The Versace family wants to make it very clear that they do not find The Assassination of Gianni Versace: American Crime Story to be an accurate account of the slain fashion designer's life.
The 52-year-old writers comments come after the Versace family issued a statement criticising FXs new mini-series, which explores the assassination of the renowned Italian designer.
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Did you watch the first season of American Crime Story? It stormed the Golden Globes in 2016, scooping Best Actress for Sarah Paulson, and Best Limited Series or Television Film overall.
Darren Criss of Glee fame plays the killer Andrew Cunanan. At first, Cunanan's youthful, exotic good looks and magpie intelligence earned him access to the upper echelons of San Diego's fabulously decadent and closeted gay rich, but as drugs and dissolution exacted their toll, the doors closed tight and Cunanan's rage and frustration took a murderous bent. We had known that Penelope Cruz had reached out to Donatella Versace once she received the part.
Apparently, the family of Gianni Versace had no involvement in how The Assassination of Gianni Versace is going to unfold on FX, and so the series should be regarded as fiction by viewers.
"Like the original American Crime Story series The People Vs OJ Simpson which was based on Jeffrey Toobin's non-fiction bestseller The Run of His Life, FX's follow-up The Assassination Of Gianni Versace is based on Maureen Orth's heavily researched and authenticated non-fiction bestseller Vulgar Favors, which examined the true-life crime spree of Andrew Cunanan", it said.
"It saddens (us) to see that among all possible portraits of (Gianni's) life and story, the producers chose to present the false and distorted version created by Maureen Orth", it added.