hold out/offer an olive branch

1. To do or say something in order to show that you want to end a disagreement with someone.

2. To extend an offer or gesture of peace, reconciliation, truce, etc. (to someone), so as to end a disagreement or dispute. (Can also be formulated as "offer someone the olive branch.")

-The conservatives in Congress seem to be offering the olive branch to Democrats on the issue of raising the debt ceiling.

-If you find yourself in a spat with a friend, try to be the bigger person and be the one to offer the olive branch.

-I was still hurt by the way my parents had lied to me, but I decided to offer them the olive branch at Christmas.