ANTARES and KM3NeT are two Cherenkov neutrino telescopes deployed in the Mediterranean
Sea. ANTARES accumulated a data sample spanning 15 years until its shutdown in 2022.
KM3NeT/ARCA is currently in construction off the shore of Sicily, but already taking data in
evolving detector configurations. A binned likelihood stacking framework is presented combining
the data from 15 years of ANTARES and different KM3NeT/ARCA configurations (6, 8, 19 and
21 lines) data. It is applied to Seyfert hot-coronae neutrino emission, both in a model-dependent
and model-independent approach. For the former, state-of-the-art hot corona models for 9 local
Seyfert Galaxies are tested. For the latter, a sample of 30 Seyfert Galaxies using the BASS AGN
catalogue has been constructed. No signal excess is found above the background-only hypothesis.
Therefore, the results of this analysis are useful to constrain theoretical models of neutrino emission
of this class of astrophysical sources.

