President Trump and Pope Francis have clashed in public over issues such as migration and climate change.
The White confirmed on Tuesday that it was exploring a meeting between Trump and Pope Francis.
"We will be reaching out to the Vatican to see if an audience with the pope can be accommodated", White House spokesman Sean Spicer said.
"The same goes for the church Francis leads", the cardinal reflected.
The spokesman did not anticipate there being any scheduling conflicts around the time that Trump would be traveling to Italy.
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Before attending the G7 summit of leaders in Taormina, Sicily, Italy on May 26-27, Trump has been scheduled to be a part of a North Atlantic Treaty Organisation summit in Brussels.
In Trump's case, the request will be coming in barely a month before he is due in Sicily for the G7 summit and after months of will-he, won't-he speculation about a possible meeting centered on the two men's very different world views.
World leaders normally give the Vatican at least several months notice of requests for a papal audience, which are nearly invariably granted if logistically possible.
Last February, Pope Francis spoke out against Trump's comments on immigrants.
This year's list featured a wide range of big names from various entertainment industries, including some from television, like Fresh Off the Boat's Constance Wu, Atlanta's Donald Glover, SNL's Leslie Jones, American Horror Story's Sarah Paulson, late night host James Corden, and Drag Race creator RuPaul.
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"A person who thinks only about building walls, wherever they may be, and not building bridges, is not Christian", the pontiff said in response to a reporter's question about Trump.
Trump, however, kept on winning primaries.
That, Trump suggested, was his reason for wanting to build a wall between the US and Mexico.
Trump met with the Mexican President Peña Nieto on January 31.
He told Trump that, 'may America's stature continue to be measured above all by its concern for the poor, the outcast and those in need who, like Lazarus, stand before our door'.
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