  We present the results of a global fit to the Aligned Two-Higgs Doublet
Model, assuming that there are no new sources of CP violation beyond the quark
mixing matrix. We use the most constraining flavour observables, electroweak
precision measurements and the available data on Higgs signal strengths and
collider searches for heavy scalars, together with the theoretical requirements
of perturbativity and positivity of the scalar potential. The combination of
all these constraints restricts the values of the scalar masses, the couplings
of the scalar potential and the flavour-alignment parameters. The numerical
fits have been performed using the open-source HEPfit package.
