Iran and the U.S. exchanged fire this week amid a ceasefire.
“If the Iranians are willing to work in good faith with us, I think we can make an agreement,” Mr Vance said.
The PM added that Pakistan “fully supports ongoing efforts to pursue dialogue” in the interest of regional and global stability.
The head of the Catholic Church met Vance and U.S. Secretary of State Marco Rubio at the Vatican.
The 88-year-old was able to leave the Gemelli Hospital in Rome four weeks ago after spending more than a month in the hospital.
The meeting brings together 1,500 participants from about 100 countries and follows two previous AI global summits in the UK in 2023 and South Korea in 2024.
