The Trentino bear population has surged from just three when they were re-introduced from Slovenia 20 years ago, to now numbering more than 100.
Many of the animals are becoming increasingly bold, with close encounters increasingly frequent.
The family of Papi, 26, who was killed by a bear while running in the woods near the Alpine town of Caldes, intend to sue the State and the Autonomous Province of Trento.
The legal action would involve Life Ursus, the program to bring brown bears into the central Alps at the turn of this century to stop the local population from becoming extinct.
The action will reportedly focus on the fact that the project was implemented without a referendum of the local population.
The family has already spoken to lawyers.
Several animal-rights groups and supporters, meanwhile, have criticised the order by Province of Trento President Maurizio Fugatti for the bear that killed Papi to be identified and eliminated.
Environmental association Legambiente said that it is the first lethal attack by a bear in 150 years in Italy and, while conceding that the bear in question would now be killed, it said there was no reason to stage a "witch hunt" against the animals in general.
A spokesperson for WWF Italia said: "We express our condolences for the death of this young man but we still need more details.
"Whilst emotions may be running high, the destruction of a bear even if it has become dangerous, must always be the last resort.
"Once again we have seen politicians trying to capitalise on this event, but what should be remembered is that bears fear humans and will always keep a distance from people."
A plan for the mass transfer of bears from Trentino to other areas is one of the measures that will be assessed by the Ministry of the Environment and the Autonomous Province of Trento after the attack on Papi, a statement by the Ministry read.
It followed a meeting in Rome on Tuesday morning between the minister, Gilberto Pichetto, and Fugatti.
The aim of the transfer will be to maintain a sustainable number of bears on Trentino territory.
A technical round table will be set up on bear management in the Alps between the Ministry, the Province and environmental agency Ispra.
ANSA
