* Bringing people together after a dispute: καταλλαγείς (katallágēis) - the aorist passive participle of καταλλάσσω (katallássō), meaning "to reconcile, to bring into harmony." This is probably the closest single word.
* Reconciliation with God: ἀποκαταλλαγή (apokatallágē) - This word emphasizes restoration of a relationship, often used in a religious context, especially concerning reconciliation with God.
* Making peace, settling a disagreement: εἰρήνη (eirēnē) - peace. While not a direct translation of "reconciled," it captures the state of being reconciled. You'd likely need to use this with a phrase to convey the complete meaning.
Therefore, καταλλαγείς (katallágēis) is likely the closest single word, but the best choice will depend on the specific nuance you wish to express.