On the Via Francigena, Cammino di Assisi and Cammino di Francesco we found no equivalent of the pilgrim's"buen Camino" in the sense of a common greeting referring to the pilgrimage. There are not nearly as many other pilgrims as on the CF and it is not like the CF where everyone you run into knows you are a pilgrim. Occasionally, someone familiar with the
Camino de Santiago would give us a buen camino. Otherwise it was just the generic Italian greetings.
The Cammino di Francesco had some pilgrims who spoke English, and quite a few of the places we stayed at had an English speaker, but by no means all of them and less so in convents and monasteries. We found it very helpful to have some Italian, but probably could have gotten by without it.