A possible relation between CP violations in the lepton and quark sectors, parametrised by the PMNS and CKM phases, is analysed. We show that both mixing phases can be generated, in a class of two Higgs doublet models, by a vacuum phase. This scenario requires that scalar FCNC are present at tree level in both sectors, imposing important phenomenological constraints but also offering interesting prospects, specially in the processes ${\rm h}\to e^\pm\tau^\mp$ and $t\to {\rm h} c$.