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A recent analysis of the false-vacuum decay in non-perturbative regimes is here extended in the presence of Einstein gravity, computing the corresponding effective potential and decay rate. We consider a λϕ4 scalar field theory and we observe that, in comparison to the usual perturbative decay rate, the higher the coupling λ, the greater the decay probability. We evaluate the running of the self-interaction coupling and obtain a weakly coupled theory at lower energies, proving that Einstein gravity grants an even more reliable weak coupling approximation with the universe cooling down. We also provide an extended study of a non-minimal coupling ξ of the scalar field with gravity showing how this term makes the false-vacuum decay more difficult. Minima can also disappear at large coupling ξ. We discuss possible applications of these results to cosmological phase transitions, gravitational-wave astronomy, and condensed matter systems.