If Gallia truly wants to be at peace with the Houses they were rather recently in a total war with, then they would have to expunge themselves of all the Royalists(whom according to the sector at large are literally genocidal war criminals). This can either be done by putting them on trial internally, or handing them over to the other Houses to stand trial as war criminals before a combined court constituted by all affected Houses. This would effectively be everyone else except Rheinland who are aggrieved by the cataclysmic Gallic war.
At present, it's entirely unjustifiable for any of the Houses who suffered through the aftermath of the Gallic war to want peace with Gallia, when they recently just gave all the said war criminals full pardons and reintegrated them into their society.