The Vatican announced his visit, which many observers see as an uphill effort, in a short statement.
It said the main purpose was "to listen carefully to Ukrainian authorities on the possible ways to reach a just peace and support humanitarian gestures that may help ease tensions".
At the meeting in May, Zelenskiy asked the pope to back Kyiv's peace plan, which Zelenskiy has repeatedly said is not open to negotiation.
"There can be no equality between the victim and the aggressor," Zelenskiy said after his May 13 meeting with the pope.
Zuppi hails from the Sant' Egidio Community, a Rome-based peace and justice group which has been instrumental in several peace negotiations, particularly in Africa.
Persons:
Cardinal Matteo Zuppi, Pope Francis, Volodymyr Zelenskiy, Zelenskiy, Vladimir Putin, Zuppi, Sant, Philip Pullella, Nick Macfie
Organizations:
CITY, Vatican, Italian Bishops Conference, Diplomats, Thomson
Locations:
Ukraine, Kyiv, Bologna, Russia, Zuppi, Crimea, Rome, Africa, Mozambique