Abstract: The measurement of the Higgs mass of about 125 GeV at the LHC has confirmed that the Standard Model electroweak vacuum is a shallow local minimum and is not absolutely stable. In addition to a probable fast tunneling to the deep true minimum, it is not clear how the observable present-day vacuum could be reached from the early Universe, particularly following inflation. In this talk I will discuss how this problem could be alleviated if the Higgs field is non-minimally coupled to a higher-curvature theory of gravity which is effective in deriving inflation a la Starobinsky. I will also discuss predictions of this model through modifications to the Higgs couplings which could in principle be tested at the next generation of particle colliders.