After the "long shutdown" LHC is back to work, breaking its world record again - accelerating particles at √s=13 TeV and delivering more than 40fb^-1 of integrated luminosity. With the higher centre-of-mass energy and with a larger amount of data, new exciting discoveries might be just beyond the corner. One of the well-motivated extension of the Standard Model is the extension of the Higgs sector itself, i.e. that the recently discovered Higgs boson is just a member of a larger Higgs sector. A smoking gun for any non-trivial extensions of the Higgs sector, would be the presence of charged Higgs bosons. I will report on the most updated status of the search for the Charged Higgs bosons in the H→τν decay mode, and the expectation of the forthcoming results.