A "Peace in our times" solution, ala 1939's Neville Chamberlain signing a deal with Hitler.
Then wait until the belligerants sufficiently bloody each other that they are both willing to come to a deal. Let them decide the terms of the deal and send your peacekeepers in only after the deal is signed and an armistice has begun and only for the purpose of keeping the hotheads apart while the grownups consolidate the peace.
In the long run the butcher's bill will be less than it would be in an externally forced formal peace treaty between unwilling parties resulting in an informal continuing low grade long-running state of insurrection.