Mumtaz Sattar, 38, died hours after arriving in the country's Punjab province last month with husband Abdul. The 40-year-old, from Port Glasgow, told police that he and his wife were drugged and attacked by two men during a taxi ride on the way from the airport to see his parents.
He said they were thrown out of a moving car and that his wife died from the head injuries she suffered.
Police in Pakistan now say Mr Sattar may be responsible and have detained him in custody.
Former Glasgow MP Mohammad Sarwar, who is now governor of Punjab Province, has promised Mrs Sattar's family that he will help in the case.
The woman's relatives have petitioned the High Court in Lahore naming a suspect and a meeting between her brother Sarfraz Ali and family solicitor Aamer Anwar was arranged with Mr Sarwar in Glasgow on Saturday.
Mr Sarwar said he had been in daily contact with officers who are working on the case.
He said: "I just want to assure everyone that I am taking a personal interest in the case and that senior officers are investigating the whole incident, and that justice will be done."
First Minister Alex Salmond was also said to have taken an interest in the case and has spoken to Mr Sarwar.
Scottish police are helping Pakistani authorities with their investigation.
Mr Sarwar said that the officers leading the investigation in Punjab were of an equivalent rank to a Scottish superintendent.