An observational evidence for a directional correlation between high-energy neutrinos detected by
IceCube and radio-bright blazars has been reported in the recent years. The targeted radio catalog
is given by an all sky complete sample of 3411 blazars with an average parsec-scale flux density
higher than 150 mJy at 8 GHz. In view of this intriguing results, several searches for association
between the data collected by the ANTARES neutrino telescope in 13 years of operation and the
same blazar catalog have been performed. The hypothesis of directional correlation is tested by
means of a neutrino-blazar pair counting analysis, as well as of a complementary time-integrated
likelihood-based approach. Moreover, in order to search for a time clustering of the ANTARES
events coming from the blazar directions, a time-dependent likelihood scan is also performed.
Finally, a follow-up search for multi-messenger time flare associations is conducted. The results
of these analyses are presented and discussed in this contribution.