Dignitaries that meet with the Pope are typically given a blessing and a small gift,

but President Joe Biden was the one who had a sentimental present for Pope Francis during their meeting at the Vatican on Friday.

According to the White House, Biden and First Lady Jill Biden gave Francis a historic chasuble—a garment traditionally worn by clergy during communion—in a custom marble and wood frame. The handwoven garment was a part of the archival collection of the Holy Trinity Catholic Church in Washington, D.C. and historically used by Jesuits. Francis is a Jesuit.

Holy Trinity is the church that Biden regularly attends while in Washington.

The robe's frame was crafted by local artisans from naturally-fallen wood from the White House grounds and white marble reclaimed from the original pulpit of Holy Trinity, according to a White House official.
What Joe Biden gifted Pope Francis during visit to the Vatican

NEWSWEEK.COM
What Joe Biden gifted Pope Francis during visit to the Vatican
President Joe Biden had a sentimental present.

https://www.newsweek.com/what-joe-biden-gifted-pope-francis-during-visit-vatican-1643940

((Sentimental reason, my daughters attended Holy Trinity School, in DC/Georgetown.))