  Possible strong first-order hadron-quark phase transitions in neutron star
interiors leave an imprint on gravitational waves, which could be detected with
planned third-generation interferometers. Given a signal from the late inspiral
of a binary neutron star (BNS) coalescence, %the possibility of assessing the
presence of such a phase transition depends on the precision that can be
attained in the determination of the tidal deformability parameter, as well as
on the model used to describe the hybrid star equation of state. For the
latter, we employ here a phenomenological meta-modelling of the equation of
state that largely spans the parameter space associated with both the low
density phase and the quark high density compatible with current constraints.
We show that with a network of third-generation detectors, a single loud BNS
event might be sufficient to infer the presence of a phase transition at low
baryon densities with an average Bayes factor $B\approx 100$, up to a
luminosity distance ($\mathcal{D}_L \lesssim$ 300 Mpc).
