He has often met with them "for a coffee" and gained a positive impression, Cavalli said in an interview with "Vatican News" (Thursday).
"They are simple and good people, they all have a family and the same problems that exist in every family."
Even if none of this group have become priests or nuns, "each and every one of them has their own vocation, their own mission and their own family life".
Medjugorje is located 100 kilometres southwest of Sarajevo and has been known since 1981 for its reports of Marian apparitions of six young people. According to the visionaries, these are still continuing.
Within the Church, the visions are controversial; the Vatican has been dealing with them for a long time. In the document "Queen of Peace" published last September, the Vatican Dicastery for the Doctrine of the Faith recognised the Marian devotion in Medjugorje.
However, it did not recognise the supernatural origin of the Marian apparitions.
Decision as an invitation
Cavalli sees the Vatican's categorisation as a clear recommendation to come to Medjugorje. "Medjugorje has received the highest possible recognition within the framework of the new norms," said the Apostolic Visitator.
"The document says very clearly: go to Medjugorje, because it is a place of grace."
Two million pilgrims from all over the world came in 2024 alone, including almost 50,000 priests, the archbishop reported.
With the new regulations, Cavalli has been given an additional responsibility: The "alleged messages" that some of the Medjugorje visionaries receive at certain intervals - sometimes monthly - must be approved by him before they can be published. Above all, it is a matter of checking whether the content corresponds to the faith, explained the archbishop, who described this procedure as simple: "If there is a message, the person who received it writes it to me in their own language, i.e. in Croatian. It is then immediately translated into Italian."
The Italian Cavalli has been responsible for overseeing pilgrim pastoral care in Medjugorje since 2021.
He succeeded Polish Archbishop Henryk Hoser, who died of a coronavirus infection.
Hoser was appointed by Pope Francis in 2017 to gather information about the situation on the ground.