Indi Gregory's father Dean announced on Monday that his eight-month-old daughter died overnight after British doctors turned off the life-support machine that was keeping her alive.
Premier Giorgia Meloni's government had granted the incurably ill British girl Italian citizenship as part of a bid to bring her to a Rome hospital for treatment.
But British judges ruled it was not in her best interests for the life support to continue.
"Indi's life ended at 01.45am," Dean Gregory said in a statement.
"(Indi's mother) Claire and I are angry, heartbroken and ashamed.
"The NHS and the Courts not only took away her chance to live a longer life, but they also took away Indi's dignity to pass away in the family home where she belonged.
"They did succeed in taking Indi's body and dignity, but they can never take her soul.
"They tried to get rid of Indi without anybody knowing, but we made sure she would be remembered forever.
"I knew she was special from the day she was born".
Indi's case has become a headline story in Italy and Meloni had vowed to help her parents keep her alive.
"We did what we could, everything that was possible," Meloni said in a social-media post.
"Unfortunately, it was not enough. Have a good journey, little Indi".
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