Lately I have been noticing that Poste Italiane shipment status is not always updated in the app even though it is on the website. Here are a couple of tracking numbers that you can use to check:
*removed*
Both shipment are tracked on the Poste website but not in the app.
Edit: I noticed that when searching for multiple tracking numbers in a short time, the Poste website shows a captcha to be solved. Given that I have many Poste Italiane shipments in the app, I think that the problem is related, because if I manually refresh just a couple of shipments at a time I am able to get those two shipments (which are at the bottom of the list in the app) to update, but not if I update all the shipments at once.