Vatican guards handed him over to Italian police, who detained him and ordered him expelled from Italy.
Archbishop Paul Richard Gallagher discusses foreign policy and antisemitism with a representative from the American Jewish Committee.
The cardinal was appointed to the consistory for helping to broker Mozambique's 1992 peace agreement.
Francis has pleaded for peace practically on a weekly basis, and has repeatedly expressed a wish to act as a broker between Kyiv and Moscow. His offer has so far failed to produce any breakthrough.
Abuse scandals have shredded the Church's reputation and have been a major challenge for the pope.
Kyiv estimates nearly 19,500 children have been taken to Russia or Russian-occupied Crimea since Moscow invaded in February last year, in what it condemns as illegal deportations.
In the past, women were allowed to attend the synods, a papal advisory body, as auditors but with no right to vote.
The pope, who marked the 10th anniversary of his pontificate earlier this month, has suffered a number of ailments in recent years.
The Vatican said the 86-year-old pope had complained of breathing difficulties in recent days. It added that tests showed he did not have COVID-19.