The shop sells it every day so that’s probably why it’s not stored in the fridge. Was it already cut open when you bought it?
Seal your leftover salami well, store in the fridge and eat it quickly. Not nice and not safe when you see mould begins to appear.
Charcuterie is generally safe to keep for some time if properly handled and stored. All over Europe you see charcuterie hung from a height in the shops or stored under glass counters.