Question: Have Francis I and Pope Leo X ever been in the same place?
About the article "Leonardo da Vinci", section "Old age, 1513–19".

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Veronica is remembered in the Augustinian Order for her obedience and desire for work.
Butler records a remark she made to her sister nuns: "I must work while I can, while I have time."
Miracles were attributed to her, and in a 1517 "bulla", Pope Leo X permitted her veneration in her monastery as though she had been beatified according to the usual form.
Veneration was extended to the entire Church by Pope Clement X in 1672, and in 1749 her name was inserted into the Roman Martyrology for 13 January by Pope Benedict XIV, although her name appears in Augustinian records of the same year for 28 January. 
The Golden Tiara was a gold and silver papal tiara given to Pope Leo XIII in 1903.
The tiara was given by the Vicar-General of Rome on behalf of the world's Catholics to commemorate the Pope's Silver Jubilee as pope.
It was the fourth papal tiara given to Pope Leo during his twenty-five year reign.
It is not known if the Pope ever wore the Golden Tiara.
He died in the year the tiara was given to him.
While Leo's successor, Pope Pius X, was shown in drawings wearing the Golden Tiara, it is not known if he actually ever wore it.
No papal tiara has been worn since June 1963.
Though unworn, popes have not been prohibited from opting to wear any tiara, including the Golden Tiara, should they choose.  
After three years of relative peace, it was the elevation of Charles of Spain to Holy Roman Emperor on June 28, 1519 led to a collapse of relations between France and the Habsburgs.
Francis I, himself had been a candidate for election as Holy Roman Emperor before Charles V was chosen.
This led to a personal rivalry between Francis I and Charles V that was to become one of the fundamental facts of the sixteenth century.
Francis' candidacy for Emperor had been supported by Pope Leo X.
Thus, Pope Leo now had a real fear of Charles V. Charles' empire included the Kingdom of Naples, the northern border of which was just forty miles from the Vatican.
The deterioration of relations between the Habsburgs and Francis I provided Francis I with a pretext for war with Charles.
However, just when Francis I began to count on Pope Leo in a war against Charles V, Pope Leo suddenly made peace with the Emperor and sided with the Holy Roman Empire against France.
Soon Francis I was surrounded by enemies.
Not only was Charles V emperor, but he also remained King of Spain.
Thus Francis I faced war from the east (the Holy Roman Empire) and the west (Spain).
Then to make matters worse, Henry VIII of England joined the pope (Pope Leo X died in 1522 and was replaced by Adrian VI who lived a year until 1523 and then was succeeded by Clement VII) and the emperor in their war on France.
Charles V took Milan from the French in 1521 and returned Milan in 1522 to Francesco Sforza, the Duke of Milan.
The French were outmatched by the Spanish arquebusier tactics, however, and suffered crippling defeats at Bicocca on April 27, 1522 and Sesia against Spanish troops under Fernando de Avalos on April 30, 1524.
With Milan in Imperial hands, Francis personally led a French army into Lombardy in 1525, only to be utterly defeated and captured at the battle of Pavia on February 24, 1525.
With Francis imprisoned in Spain, a series of diplomatic maneuvers centered around his release ensued, including a special French mission sent by Francis' mother Louise of Savoy to the court of Suleiman the Magnificent that would result in an Ottoman ultimatum to Charles—an unprecedented alliance between Christian and Muslim monarchs that would cause a scandal in the Christian world.
Suleiman used the opportunity to invade Hungary in the summer of 1526, defeating Charles' allies at the Battle of Mohács on August 29, 1526.
Despite all these efforts, Francis was required to sign the Treaty of Madrid in January of 1526 in which he surrendered his claims to Italy, Flanders, and Burgundy, in order to be released from prison. 
"The Meeting of Leo the Great and Attila" depicts the storied parley between the Pope and the Hun conqueror, and includes the legendary images of Saint Peter and Saint Paul in the sky bearing swords.
A fully developed drawing by Raphael indicates he planned to place the pope - portrayed with Julius's features - in the background; when Leo X became pope - and just happened to choose the name Leo - he must have encouraged the artist to bring the pope front and center and use his own portrait. 
The Holy Family is a 1518 painting of the Holy Family, saint Elisabeth, an infant John the Baptist and two angels.
It is signed by Raphael, but most of the work was delegated to his workshop assistants.
It was commissioned by Pope Leo X as a gift to Claude, wife of Francis I of France, hence its name.
It is now in the Louvre.