She had been renting an apartment with a friend in the Defense area of Lahore where she was discovered dead by her uncle next to her phone, according to the Independent Urdu.
"We are also after two suspects and will share further details at a later stage", the police said, adding that Miss Zulfiqar's friend who was living with her at the same house, had been unable to help their enquiries.
A Pakistani-origin British woman was found slain at her rented house in Defence on Monday.
A bullet had been fired near Zulfiqar's neck and scars have been found on her body, according to a preliminary post-mortem report.
A police report said Ms Zulfiqar's uncle, Mohammad Nazeer, found her body after receiving a phone call from her father in London to say she had been killed.
The victim's distraught parents are understood to be travelling to Pakistan after they were told of their daughter's death.
Ms Zulfiqar (pictured) is understood to have moved from Pakistan from the United Kingdom around two months ago, where she had been studying at Middlesex University after attending school in Twickenham.
A case has been registered against four persons, including two men identified as Mahira's friends, Zahir Jadoon and Saad Amir Butt.
The officer said that they had been alerted to the apparent murder, and that forensic experts had cordoned off the crime scene. A mobile phone was found near her body.
The law graduate from London had been threatened by two men who both wanted to marry her, according to legal documents seen by the BBC.
Supt Sayyed said they had also contacted the parents and other family members of the deceased overseas to get details from them.
In a statement supplied to Sky News, the Foreign and Commonwealth Development Office said: "We are supporting the family of a British women who died in Pakistan and are urgently seeking more information from the local authorities".