"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. "We would be honored to have an audience with his holiness."
Vatican spokesman Greg Burke said Pope Francis would welcome a request for an audience and do his best to ensure it happened.
"As of the end of last week we had not had an official request for an audience but for sure we would welcome it," Burke told AFP, adding that he did not anticipate any scheduling clashes which could prevent a meeting taking place around the dates Trump is due to be in Italy.
Trump is scheduled to participate in the G7 summit of leaders on May 26th-27th in Taormina, Sicily. Prior to that, he is expected to attend a NATO summit in Brussels.
World leaders normally give the Vatican at least several months notice of requests for a papal audience, which are almost invariably granted if logistically possible.
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.
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While campaigning in February 2016 to become the Republican Party's nominee for the White House, Trump and the pontiff had a heated and extraordinary exchange through the media.
"Anyone, whoever he is, who only wants to build walls and not bridges is not a Christian," Pope Francis told journalists, responding to a question about the real estate mogul's anti-immigrant stance.
Trump retorted: "For a religious leader to question a person's faith is disgraceful."
He also commented: "If and when the Vatican is attacked by Isis, which as everyone knows is Isis's ultimate trophy, I can promise you that the Pope would have only wished and prayed that Donald Trump would have been President. [sic]"
Trump later softened his tone, saying the pope was misinformed, unaware of the impact of the drugs coming into the United States and a range of security issues that made it necessary to build a wall along the southern US border.
On a visit to Mexico in February 2016 Francis held an open-air mass on the US-Mexico border, where he described forced migration as "a human tragedy."
When he was sworn in as president on January 20th, Pope Francis offered his "cordial good wishes" and hoped that Trump would be granted "wisdom and strength in the exercise" of his office.
But he also implored the former reality TV star to continue to help those who suffer the most - "the poor, the outcast and those in need who, like Lazarus, stand before our door.
A spokesperson for the Holy See said in February that the Vatican was "concerned" over Trump's policies, including executive orders to build a wall between the US and Mexico, and a travel ban targeting several Muslim-majority countries, which was overturned twice in court.
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Photo: Jim Watson/AFP