  One of the most popular extensions of the Standard Model is the
Two-Higgs-Doublet model (2HDM), in which a second Higgs doublet is added to the
conventional Standard Model particle content. 2HDM's with a softly broken
$\mathbb{Z}_2$ symmetry avoid flavour-changing neutral Higgs currents at
tree-level. They also comprise the Higgs sector of the Minimal Supersymmetric
Standard Model. Current Higgs observables put strong constraints on these
models. We present global fits to these data and combine them with information
from theoretical bounds, electroweak precision observables and the most
important flavour constraints, using the open-source package HEPfit. The
resulting limits on the 2HDM parameters like mixing angles, the heavy Higgs
masses as well as the allowed Higgs mass splittings will be discussed.
