Reconciliation is the act of getting two things to be compatible with one another. You might have a reconciliation with a former enemy, or your mom might call for a reconciliation between your spending habits and your diminishing bank account.
If you want to do something on Friday night, but your friend is trying to save money, going to a free art gallery opening would be a reconciliation of both your desires. Reconciliation can also mean the reestablishment of civil relations after a conflict. If you and your friend got into an argument over what to do Friday night, you’d need to have a reconciliation before you go hang out.