The IceCube experiment is the first representative of a km^3 neutrino telescope generation and currently is the most sensitive detector to high-energy neutrinos.
Very recently, the collaboration has reported the observation of 28 neutrino events with energies higher than 10 TeV and whose atmospheric origin is very unlikely. This may potentially represent the first observation of high-energy astrophysical neutrinos.
In my talk I will discuss the possible galactic and extra-galactic astrophysical origin of these energetic particles. In particular, I will focus on the hadronic interactions of the diffuse very high energy cosmic rays with the interstellar matter within our Galaxy and I will show how simultaneous detections of gamma rays and neutrinos may allow to understand the origin of very high energy neutrinos.
Finally, I will discuss the potentiality of a km^3 neutrino telescope in the Mediterranean sea to detect neutrino sources in the Galactic Centre.