Marianne Kilonzi was found beaten to death inside a property in Argyll Road at around 5.25pm on January 17.
The 43-year-old, who was vice president at Citibank, is believed to have known her attacker, police say.
A spokesperson for Metropolitan Police confirmed today (January 22) that it is exploring whether the suspect had fled abroad.
It added: “This is one line of enquiry that is currently being explored as a part of the investigation.”
A post-mortem on Saturday gave her cause of death as blunt force trauma and head injury.
No arrests have yet been made but a murder investigation is underway.
Detective Chief Inspector Suzanne Soren, from Specialist Crime South, who is leading the investigation said: “This is a tragic crime and our thoughts at this incredibly difficult time are with Marianne’s loved ones and colleagues.
“We are in contact with her family, who are being supported by specialist colleagues.
“I know this is a concerning time for the wider community and want to reassure the public that whilst we are in the early stages of this investigation, we believe the suspect was known to Marianne and there is no wider risk to the public.
“This is a fast-paced investigation and I would urge anyone with any information to come forward. Please call 101 quoting CAD 5231/17Jan or to report anonymously you can contact Crimestoppers on 0800 555 111.”
In a statement to the PA news agency, Ms Kilonzi’s employer, Citibank, said: “We are deeply saddened by the tragic loss of our colleague.
“Our thoughts are with Marianne’s family and friends during this difficult time.”
A formal identification of Marianne’s body has taken place.
