Can I travel outside Italy without permesso di soggiorno (student visa, multiple entry)

Hi everyone,

I’m currently in Italy on a student Schengen visa (type D) and my visa is multiple entry. I have already applied for my permesso di soggiorno, but I haven’t received the physical card yet.

I would like to travel to Saudi Arabia and then return to Italy.

My passport is valid, and my visa is still valid.

Does anyone know if it’s allowed to leave Italy and re-enter while waiting for the permesso di soggiorno? Has anyone done this before?

Also, are there any specific documents I should carry when coming back to Italy?

Thanks in advance!