ANTARES, currently the largest neutrino telescope in the Mediterranean Sea, has been operating for more than 10 years. ANTARES provides unprecedented sensitivity for neutrino source searches in the Southern Sky at TeV energies, so that valuable constraints can be set on the origin of the cosmic neutrinos discovered by the IceCube detector. ANTARES has also constrained the neutrino emission from possible Dark Matter annihilation in massive objects like the Sun or the Galactic Centre, and has measured the neutrino oscillation parameters in the atmospheric sector. Building on the ANTARES experience, KM3NeT, a new, much larger detector with improved design and technology is under construction on two sites in the Mediterranean sea. Deployed off the coast of Sicily, the ARCA telescope (Astroparticle Research with Cosmics in the Abyss) will be dedicated to the detection of high-energy astrophysical neutrinos. When completed, KM3NeT-ARCA detector with dimensions exceeding one kilometre cube, will reconstruct with an excellent angular resolution signatures of neutrinos of all flavors in a very clear deep-sea water environment. KM3NeT-ARCA, situated in the Northern hemisphere, will be able to observe up-going neutrinos from most of the Galactic Plane, making it possible to study the neutrino fluxes from different astrophysics sources, as well as neutrinos from Dark Matter annihilation. The latest results from ANTARES and the perspectives of the KM3NeT-ARCA detector will be presented.