Birgitte Kallestad, 24, was riding mopeds with pals in the Philippines when she came across the animal, according to reports.
And during one of their strolls, she found the wandering dog on the road and attempted to rescue it by taking it back the resort they were lodging in.
In a statement given to NRK, government-owned media in Norway, Kallestad's family explained that she had been back in Norway for a long time before she fell ill. By that time, some time had passed since her Philippines trip, and doctors had trouble diagnosing her illness.
Kallestad went on with her holiday feeling fine. Kallestad died on May 6 at the hospital where she worked, about eight days after she was admitted there full time. "Our fear is that this will happen to others who have a warm heart like her", the Kallestad family said in a statement.
Blood samples were sent to Sweden's Public Health Authority and confirmed. "We want this vaccine to be included in the program for places where it can be rabies, and that people become aware of the dangers", the family stated.
"We are very sympathetic with the family", Sir Feruglio, a Senior Medical Officer at the Institute, told the BBC.
Kallestad's family have started a campaign to get rabies shots onto the list of mandatory vaccinations.
The disease kills thousands of people every year, mostly in Asia and Africa, where it is prevalent.
According to the CDC, the most common way rabies is transmitted is "through the bite and virus-containing saliva of an infected host".
There is a vaccine for rabies, but in order to be effective, it must be given before symptoms appear. According to the World Health Organisation, 99 per cent of rabies infections in humans are caused by dog bites. Early signs of the disease include flu-like symptoms, such as general weakness, fever and headache, followed by more severe symptoms, including anxiety, confusion, hallucinations and insomnia.