The hospitals never actually collapsed. I remember this at the time - there were many reports claiming they were
about to totally run out of beds, and this kept being upgraded by commenters into "they have already run out". I kept asking for links that proved this and not getting any. Later some patients got moved to hospitals in Germany but there was some odd stuff about it: an Italian politician was demanding to know why patients were being moved there when there were nearby hospitals in Lombardy with spare beds.
Overall the idea the hospitals collapsed seems to have been a form of telephone game exaggeration, egged on by media reports claiming there were so many bodies they were piling up (actuality: undertakers were refusing to touch bodies because they are mostly old and had been told it would kill them).
What did collapse were care homes. But not because of COVID. Staff fled in fear, often back home to Eastern Europe before the borders closed, leaving too many elderly to die of dehydration and abandonment.