Mayra Zulfiquar, 24, was found shot in the head at her rented property in Lahore on Monday. Police have said they are looking for two suspects.
Police Superintendent Sayyed Ali told Dawn.com: “We are also after two suspects and will share further details at a later stage.”
Local reports suggest two men were competing for the woman’s hand in marriage.
Before her death, her uncle claimed that she told him two men had been threatening and harassing her, according to the Independent Urdu.
Her uncle told police that one of her friends was trying to force her to marry him, while his other friend also wanted to marry her, but she had refused them both.
He said he received a phone call from her father in London on Monday saying she had been killed.
According to a First Incident Report (FIR) filed by her uncle, two friends and two accomplices broke into her home at around 4 or 5am on Monday.
The woman arrived in Pakistan from the UK two months ago.
Mr Sayyed said she was living with a friend and she was assisting police with their investigation.
He said an unidentified caller had alerted officers to the murder.
Forensic experts then attended the scene and cordoned it off.
Mr Sayyed said the woman was found lying in a pool of blood in her room with her mobile phone near her body.
He said: “We have seized the mobile phone for forensic analysis.”
He added that police are checking nearby CCTV cameras.
Mr Sayyed said the woman’s parents and other family members have been contacted.
Ms Zulfiquar’s parents are expected to arrive in Lahore from their home in west London later this week. Their daughter had travelled to Pakistan for a wedding two months ago and had decided to stay, Dawn said.
In a statement, Duncan Blackett Law said Ms Zulfiqar had been briefly enrolled on its legal mentorship programme before it was postponed as a result of the coronavirus outbreak and she was an “excellent mentee who demonstrated a keen interest in commercial law”.
Gracie Duncan, of Duncan Blackett Law, told the Daily Mail: “She was a lovely girl, very quietly spoken, very keen to learn and to get into the profession. I am very shocked to learn what has happened to her.”
The UK’s Foreign, Commonwealth & Development Office said in a statement: “We are supporting the family of a British woman who died in Pakistan and are urgently seeking more information from the local authorities. Our thoughts are with the family at this difficult time.”