Expressions used in Everyday Spoken English in Social and Professional contexts
To 'reconcile' is to repair relations between two or more parties or to settle or forgive an argument or disagreement. To 'reconcile' can also mean to be or make compatible or to make one thing consistent with another. This is a verb that can be used in social and professional contexts.
The noun 'reconciliation' is also popular, and we might talk about a reconciliation between people in conflict, or people finding reconciliation after an argument. However, 'reconciliation' has a different meaning in the context of accounting: it is a term used when financial records are compared to ensure they are the same; to ensure they they 'reconcile'.