A promising directional correlation between IceCube muon neutrino candidates and a catalog of radio-bright blazars has been reported [ApJ 894 (2020) 101, ApJ 908 (2021) 157]. The analysis presented in this contribution targets the same radio catalog using the data collected by the ANTARES neutrino telescope in 13 years of operation. In particular, a search for space and time clustering of the events from the direction of the radio-bright blazars is performed by means of an unbinned time-dependent maximum likelihood method. In the search, two profiles (gaussian and box shapes) are assumed for the neutrino arrival distribution. For both profiles, the central time and duration of the flare are treated as free parameters in the likelihood maximization, together with the number of signal events and the energy spectral index of the neutrino emission. The results of the search, in terms of most significant neutrino flares and corresponding best-fit values of the free parameters, are presented.