  The perovskite BaBiO$_3$ crystallizes in a cubic structure and undergoes
structural transitions toward lower symmetry phases upon cooling. The two
low-temperature monoclinic phases are insulating, and the origin of this
unexpected non-metallic character has been under debate. Both monoclinic phases
exhibit tilting and breathing distortions, which are connected with the
insulating nature of this compound and may have important effects on phononic
heat conductivity. Here, we report the first thermal conductivity measurement,
$\kappa$(T), in pristine polycrystalline BaBiO$_3$ from 1.5 K to 310 K. At low
and intermediate temperatures, we observe features reminiscent of a glass-like
behavior, whereas at high-temperatures we find a downturn - typical of a
crystalline solid. We compare our findings with available data of other
recently investigated perovskite oxides displaying similar temperature
dependence.
