I should add that absent your spouse eventually agreeing that their actions were wrong and being remorseful for them, we are left with few options.
We can choose to accept their new view on the matter and agree that infidelity can sometimes be ok. Ahem.
We can acknowledge that there has been a significant paradigm shift in our spouse's belief structure, and then set about assessing whether this shift creates an incompatibility that can be overcome or not.
Or we can decide that perhaps their unwillingness indicates that their "journey" continues and that perhaps now is NOT the right time to move forward with reconciliation.
Be interested in hearing other options.
Bill
"Don't tell me the sky is the limit when there are footprints on the moon."