I present a study of the vacuum instability problem in the Standard Model, with particular emphasis on the effect of gravitational corrections on this process. This covers four main effects: (1) gravitational back-reaction of nucleating bubbles and their associated bounce solutions, which alters the decay rate; (2) the nucleation of true vacuum bubbles in an inflationary background; (3) the effect of non-flat backgrounds on the running of the Standard Model couplings; and (4) the effect of non-minimal Higgs-curvature coupling on decay rates in the Standard Model. The key result presented is the discovery of previously unseen bounce solutions contributing to Standard Model vacuum decay during inflation.