In April 2016 Pax Christi International and the Pontifical Council for Justice and Peace cosponsored the Nonviolence and Just Peace Conference at the Vatican. The conference issued an Appeal calling on the Catholic Church to make nonviolence and just peace central to its purpose, while also urging it to cease teaching or using just war theory. This roundtable consists of four perspectives from Catholic moral theologians who offer just-war responses to this Appeal.