A report in NDTV said that Tiger Memon, who is believed to be in Pakistan, made the call in the early hours of July 30 through VoIP or Voice over Internet Protocol and spoke to an elderly family member, who reportedly told him that "they cannot take any more violence and it should stop."
The call allegedly lasted a few minutes.
Reports suggest that the call was intercepted by the police and security agencies. Two senior police officers, however, refused to confirm any such call.
Yakub Memon was hanged on July 30 for his role in the terror attack in Mumbai which 257 people were killed. The accountant was held guilty of financing the attack.
Yakub's body was buried near his home in Mahim, Mumbai.