Abstract The ANTARES neutrino telescope has been operating for thirteen years in the Mediterranean sea with the purpose of searching for high-energy cosmic neutrinos. During the last years, multi-messenger astronomy has become one of the most exciting topics for Cherenkov neutrino detectors, and probably the best strategy to identify the neutrino sources. Thus, the ANTARES Collaboration is actively participating to the follow-up of alerts sent by different experiments, covering the full electromagnetic spectrum and gravitational wave interferometers. ANTARES' real-time response to these alerts is complemented with dedicated offline analyses, the latter being the focus of this talk. These studies allowed to set upper limits that constrain the neutrino emission from various sources, including Fast Radio Bursts, Gamma Ray Bursts and compact binary mergers, as well as neutrino alerts by others neutrino observatories (IceCube, GVD). The latest results are presented here.