An ab-initio determination of the hadronic matrix elements relevant for a theoretical determination of K → ππ decays has been a goal for the lattice QCD community for about three decades. These matrix elements are key to the theoretical determination of the CP violation parameters ε and ε′. This is not only relevant to challenge the Standard Model but also to provide stringent constraints on New-Physics scenarios. Although such a computation is very challenging, impressive results have been reported over the last few years. The most spectacular is the first realistic computation of ε′/ε with physical kinematics by RBC-UKQCD [1]. The novelty is the ΔI →1/2 channel, whereas the ΔI →3/2 contribution is now computed at several values of the lattice spacing and extrapolated to the continuum limit. After a short overview, I will report on the status and the prospect of direct and indirect violation in kaon decays from a lattice perspective.