The Guardian reports that Ms Bibi developed an infection and passed away on Monday.
She was just 20 years old.
Sonia told police that her former boyfriend Latif Ahmed doused her with petrol and set her alight after she rejected his offer of marriage.
“Medical staff initially said she would recover, but a doctor in Multan’s Nishtar hospital said infection set in and she died,” the Guardian says.
“Forty-five to 50 per cent of her body had been burned in the attack.”
Sonia told police that she “had fallen out of love with Ahmed, and preliminary investigations suggested he had set her on fire after she refused to marry him”.
The Aurat Foundation, a campaign group that works to improve the lives of women in Pakistan’s conservative and patriarchal society, says more than 3000 women have been killed in similar attacks since 2008.