The court has yet to form the larger bench.
Advocate Imtiaz Rashid Qureshi of Bhagat Singh Memorial Foundation yesterday filed an application for early hearing of its petition.
"I have filed the petition in the LCH for early hearing of the Bhagat Singh case. Today I requested the registrar to get a date fixed for hearing of the case and hopefully the case will be heard this month," Queshi told PTI today.
"I have written to the government for building a statue of Singh but has not yet got any response from it in this regard," he added.
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A division bench of the Lahore High Court in February had requested the chief justice to constitute a larger bench to hear the petition seeking reopening of the case of Singh.
In the petition, Qureshi had said Singh was a freedom fighter and fought for independence of undivided India.
Taking plea in his petition Advocate Qureshi said Singh was initially jailed for life but later awarded death sentence in another "fabricated case".
He further said Singh is respected even today in the subcontinent not only by Sikhs but also Muslims as the founder of Pakistan Muhammad Ali Jinnah twice paid tribute to him.
He prayed the court set aside the sentence of Singh by exercising principles of review and order the government to honour him with state award.
In 2014, Lahore police provided the copy of the original FIR of the killing of Saunders in 1928 to the petitioner on the court's order. Singh's name was not mentioned in the First Information Report of the murder of Saunders for which he was handed down death sentence.
Eighty three years after Singh's hanging, Lahore police (in 2014) searched through the record of the Anarkali police station on court's order and managed to find the FIR of the murder of Saunders.
Qureshi said special judges of the tribunal handling Singh's case awarded death sentence to him without hearing the 450 witnesses in the case. Singh's lawyers were not given the opportunity of cross-questioning them.
"I will establish Bhagat Singh's innocence in the Saunders case," he said.