JD Vance handed over a letter with an invitation to the White House from President Donald Trump and First Lady Melania Trump.
The Chicago-born Pope also received two books by Saint Augustine and a Chicago Bears jersey with Leo's name on it.
As you can certainly understand, people in the USA are extremely happy about you, said Vance.
The Vice President headed the American delegation at Sunday's papal inauguration mass.
Foreign Minister Marco Rubio was also present at Monday's audience.