The public institution has received several reports from the general public about the animal being noticed in the sea off Dubrovnik.
It also says that a citizen managed to make a video footage of this animal, which is believed to be the world's rarest pinniped species.
According to some estimates, there are just 700 Mediterranean monk seals in the world.
The pubic institution is hopeful that this good-natured animal will find home in the Dubrovnik area.