  Using two suitable benchmark scenarios that satisfy the experimental
constraints on the total decay width of the $125 \, {\rm GeV}$ Higgs boson, we
determine the bounds on light CP-odd spin-0 states in the 2HDM+$a$ model that
arise from existing LHC searches. Our work represents the first thorough study
that considers the parameter space with $m_a \lesssim 100 \, {\rm GeV}$ and
should prove useful for 2HDM+$a$ interpretations of future ATLAS, CMS and LHCb
searches for pseudoscalars with masses below the electroweak scale.
