By this point, the contrasts between Pope Francis and President Trump are talked about so often that they’re almost cliches. Francis traded the gilded halls of the Vatican’s Apostolic Palace for a simpler residence, while Trump relishes everything gold. The pope has spent his life in Christian discipleship, while the president’s religious credentials have been mixed. Francis wants to break down walls, while Trump wants to build them. The list goes on.

While Trump was campaigning for the U.S. presidency, the two men sparred in the press, exchanging veiled (and not so veiled) barbs. Before Trump arrived at the Vatican, the press hyped the drama: Would the two leaders get along, or would there be a stand-off in Vatican City?

And yet, according to a vague press release from the Holy See, the two men hit it off—at least on some subjects. They spent nearly half an hour together in a closed-door meeting, outlasting other president-pope pairs, and found common ground “in favor of life” (presumably referring to abortion), religious freedom, and the persecution of Christians in the Middle East. “It is hoped that there may be serene collaboration between the state and the Catholic Church in the United States, engaged in service to the people in the fields of health care, education, and assistance to immigrants,” the statement continued.

So far, the relationship between the administration and the U.S. Church hasn’t been so “serene.” The United States Conference of Catholic Bishops, which represents the Church in America, has spoken out against Trump on a number of issues, including the “harmful proposals” in the health-care bill being considered by Congress, both versions of his executive order on immigration and refugees, and his promised crackdown on sanctuary cities. Just last week, leaders in the bishops’ conference sent a strongly worded letter to Trump about his budget, calling the proposed increases in defense spending, heightened immigration enforcement, and cuts to aid programs “profoundly troubling.”

The disagreements aren’t just domestic. On this trip alone, Trump has already acted in ways that Francis would likely disapprove of. The administration just announced an arms deal with Saudi Arabia, which could involve billions of dollars over the next decade. Pope Francis’s Easter message specifically addressed this issue: He prayed God would “grant the leaders of nations the courage they need to prevent the spread of conflicts and to put a halt to the arms trade.”

Despite all that, the men both came out of their meeting looking happy. The pope joked with First Lady Melania Trump, who wore a traditional black lace veil, about potica, a Slovenian dessert. The pope and the president exchanged gifts: Francis gave Trump a relief depicting a olive tree, representing “my desire for peace,” according to La Stampa, while Trump presented the pontiff with books by Martin Luther King.