Thanks Ed,
Something related that I just found online is the
Diario Storico del Comando Supremo (Historic Diary of the Supreme Command) at:
https://issuu.com/rivista.militare1/...i-diario-testo
I've only looked at parts of one volume but it gives a useful rundown of each day's events in the various theatres of operations where Italian land, sea and air forces were deployed.