"Our dear Birgitte loved animals", said her family.
'Our fear is that this will happen to others who have a warm heart like her.
The puppy is thought to have infected her when it bit her after they took it back to their resort.
The group bathed and played with the dog - unaware that it was carrying the deadly but treatable viral disease.
After returning to Norway, Kallestad fell ill and was hospitalized several times as doctors scrambled to figure out what was wrong with her.
Birgitte Kallestad, 24, from Hordaland on the Norwegian west coast, died on Monday night - more than two months after coming into contact with the dog while travelling with friends in February.
After conducting tests, Sweden's Public Health Authorities confirmed on Saturday that Kallestad had rabies.
The girl's case is the first rabies-related death in Norway for more than 200 years. The nation's health officials have been in touch with 77 people who've come in contact with Kallestad, saying 31 have been vaccinated.
According to the World Health Organisation, 99 per cent of rabies infections in humans are caused by dog bites.
Once a person begins to display signs of the disease, survival is rare, the CDC said.
Norway's government does not make rabies vaccinations compulsory for citizens travelling to the Philippines, but Ms Kallestad's family has now called for a change in the law.
"If we manage to achieve this, the death of our sunbeam can save others".