On August 31, an anti-terrorism court sentenced two senior police officers to 17 years in jail in the Bhutto murder case, nearly 10 years after her assassination.
The court also declared Pakistan's former dictator Pervez Musharraf a fugitive and ordered seizure of his property.
The court also acquitted five Tehreek-i-Taliban Pakistan suspects Rafaqat Hussain, Husnain Gul, Sher Zaman, Rashid Ahmed and Aitzaz Shah.
The decision to declare five suspects innocent had invited criticism from various quarters, including the family of Bhutto.
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Bhutto, the Pakistan Peoples Party chief and a two-time prime minister, was killed along with more than 20 people in a gun and bomb attack in Rawalpindi's Liaquat Bagh during an election campaign rally on December 27, 2007. She was 54.
According to court officials, the FIA filed two petitions with the Rawalpindi bench of LHC. The first one argues that former city police officer Saud Aziz and former superintendent of police Khurrum Shahzad were not punished under the terrorism charges and the FIA demanded capital punishment for them.
The LHC accepted the petition, setting a date for the hearing of the case on October 2.
Officials said that Assistant Attorney General Faisa Mahmood Raja will be representing the FIA in the court.
Earlier, Asif Ali Zardari, Bhutto's widower, also challenged the ATC verdict when he filed three petitions in LHC's Rawalpindi bench earlier this month.
He sought death penalty for Musharraf and the two senior police officers. He also demanded conviction of five accused who were set free.