The Vatican said 400,000 people packed St Peter's Square and lined the streets of Rome for the funeral of the first Latin American leader of the world's 1.4 billion Catholics.
Cardinals marked his coffin with red wax seals before it was lowered into a tomb set inside an alcove, according to images released by the Vatican.
“It made me very sad. It’s touching that he left us like that,“ she said.
Trump was among more than 50 heads of state paying tribute to Francis, who died on Monday aged 88 after suffering a stroke.
- 'An open heart' -
There was applause from the masses gathered under bright blue skies as he hailed the pope’s “conviction that the Church is a home for all, a home with its doors always open”.
But there has been a genuine outpouring of emotion following the death of a pope who sought to steer the Church towards a more inclusive direction during his 12-year-long papacy.
By “giving to the poor and being with the poor”, Francis had inspired many, she said.
Italian and Vatican authorities mounted a major security operation for the ceremony, with fighter jets on standby and snipers positioned on roofs surrounding the tiny city state.
In front of the altar lay the pope's simple cypress coffin, inlaid with a pale cross.
The funeral set off nine days of official Vatican mourning for Francis, who took over following the resignation of Pope Benedict XVI in 2013.
Many of Francis's reforms angered traditionalists, while his criticism of injustices, from the treatment of migrants to the damage wrought by global warming, riled many world leaders.
“His gestures and exhortations in favour of refugees and displaced persons are countless,“ Battista Re said.
Trump’s administration drew the pontiff’s ire for its mass deportation of migrants, but the president has paid tribute to “a good man” who “loved the world”.
Kyiv published a photo of the encounter, the two men sitting face to face in red and gold chairs in the basilica as the pope's coffin lay nearby, out of shot.
“’Build bridges, not walls’ was an exhortation he repeated many times,“ the cardinal said.
Israel -- angered by Francis's criticism of the war in Gaza -- sent only its Holy See ambassador. China, which does not have formal relations with the Vatican, did not send any representatives.
Italian mourner Francesco Morello, 58, said the homily about peace was a “fitting, strong and beautiful message”.
Francis died of a stroke and heart failure less than a month after he left the hospital where he had battled pneumonia for five weeks.
His last public act, the day before his death, was an Easter Sunday blessing to the world, ending his papacy as he had begun it -- with an appeal to protect the “vulnerable, the marginalised and migrants”.
Catholics around the world held events to watch the proceedings live, including in Buenos Aires, where Francis was born as Jorge Bergoglio in the poor neighbourhood of Flores in 1936.
“Let us be the outgoing Church that Francis always wanted us to be, a restless Church that mobilises,“ said the current archbishop of Buenos Aires, Jorge Garcia Cuerva.
“He’s here among the ragged ones, those of us living in the slums among the cardboard,“ he added.
- Refused to judge -
He was considered a radical by some for allowing divorced and remarried believers to receive communion, approving the baptism of transgender believers and blessings for same-sex couples, and refusing to judge gay Catholics.
Francis strove for “a Church determined to take care of the problems of people and the great anxieties that tear the contemporary world apart”, Battista Re said.
“A Church capable of bending down to every person, regardless of their beliefs or condition, and healing their wounds.”
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