  In extensions of the Standard Model with two Higgs doublets, flavour changing
Yukawa couplings of the neutral scalars may be present at tree level. In this
work we consider the most general scenario in which those flavour changing
couplings are absent. We re-analyse the conditions that the Yukawa coupling
matrices must obey for such \emph{general flavour conservation} (gFC), and
study the one loop renormalisation group evolution of such conditions in both
the quark and lepton sectors. We show that gFC in the leptonic sector is one
loop stable under the Renormalization Group Evolution (RGE) and in the quark
sector we present some new Cabibbo like solution also one loop RGE stable. At a
phenomenological level, we obtain the regions for the different gFC parameters
that are allowed by the existing experimental constraints related to the 125
GeV Higgs.
