Asia Bibi is currently in a secure location provided by the government but her family are in a different location.
The family are in contact with the charity Aid to the Church in need and, according to CEO John Pontifex, have expressed concern about their own safety.
He said the situation is constantly evolving but that his last conversation involved the family saying that people were looking for them by going house-to-house, asking if people had seen them.
Asia Bibi's daughter (pictured above at Premier earlier this year) has filmed a video, thanking Christians around the world for their support.
Eisham Mashiq says in the video, which is translated:
"Thanks to all of you for...praying for my mother. I would also like to thank the great judges and the Pakistani justice system that recognised my mother's innocence.
"I would also like to thank all the governments, as the Italian government, that are [concerned] about our future and our safety."
"I remembered that last February we were in Rome when Aid to Church in Need illuminated, in red, the Colosseum - my mother was in prison at that time.
"This evening, while you [illuminate] in red Venice, thank God - she is free."
She was referring to lighting-up of eight buildings in Venice in red light on Tuesday night.
Eisham went on to say that she would like to go back to Italy: "I hope that our entire family are finally happy and free and might visit Venice very soon.
"Thanks to all of you for praying for my mother and for persecuted Christians."
"Thank you, [Aid to the] Church in Need".
Listen to Aid to the Church in Need's John Pontifex describe the current situation for Asia Bibi and her family here:
Stay up to date with the latest news stories from a Christian perspective. Sign up to our daily newsletter and receive more stories like this straight to your inbox every morning.
