Multi-messenger astronomy studies transient phenomena by combining the information provided by different cosmic messengers, such as neutrinos, photons, charged particles or gravitational waves. A coincident detection enhances the chances for the identification of new astrophysical sources, which motivates the distribution of external alerts and their follow-ups by multiple observatories worldwide.
KM3NeT is a deep-sea research infrastructure hosting two neutrino telescopes currently taking data with partial configurations at the Mediterranean Sea. Two different arrays are being constructed: ORCA, offshore Toulon (France), and ARCA, offshore of Portopalo di Capo Passero, Sicily (Italy). In this contribution, the latest results of the neutrino searches conducted with the real-time multi-messenger analysis platform of the KM3NeT detectors are summarised, including statistical significance. These searches cover a wide neutrino energy range, from MeV up to a few of PeVs.

