On Tuesday night, reports suggested 20-year-old Allegra Versace Beck had been hospitalized after years of battling the eating disorder.
In Wednesday's editions of London's Evening Standard and Italy's Corriere della Sera newspapers, Versace was quoted as saying, "Anorexia is consuming her... The doctors are doing all they can to snatch her away from this cruel disease."
However, a statement from the couple insists Versace made no such comment and their daughter is receiving medical treatment at home.
It reads, "Our daughter, Allegra, has been battling anorexia, a very serious disease, for many years. She is receiving the best medical care possible to help overcome this illness and is responding well.
"Allegra is not at present staying in any hospital, she is living in her private residence and her condition does not cause particular concerns.
"As parents, we are doing our best to protect our daughter. However, due to numerous media reports, we want to let everyone know that we appreciate their concern for Allegra, and we ask that her privacy be respected at this time."
Allegra is heir to the Versace fashion empire. Her late uncle Gianni bequeathed 50 percent of the fashion label to her in his will. Her mother Donatella owns 20 percent.
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