  The CMS collaboration reported an intriguing \sim 3 sigma (local) excess at
96 GeV in the light Higgs-boson search in the diphoton decay mode. This mass
coincides with a \sim 2 sigma (local) excess in the bb final state at LEP. We
present the interpretation of this possible signal as the lightest Higgs boson
in the 2 Higgs Doublet Model with an additional real Higgs singlet (N2HDM). It
is shown that the type II and type IV (flipped) of the N2HDM can perfectly
accommodate both excesses simultaneously, while being in agreement with all
experimental and theoretical constraints. The excesses are most easily
accommodated in the type II N2HDM, which resembles the Yukawa structure of
supersymmetric models. We discuss the experimental prospects for constraining
our explanation at future $e^+e^-$ colliders, with concrete analyses based on
the ILC prospects.
