The accounting term "fondo" used by this Italian accountant is old-fashioned and misleading,it is more commonly referred to as the "Riserva sovrapprezzo azioni". This is not a "fondo", in the sense of a provision and a liability because it is in equity and therefore a riserva "reserve", part of the shareholders equity.
The company in question is probably an SRL and shares in these companies are referred to as "quote" and sometimes translated as quotas, but "quota premium reserve" sounds very strange in English and would confuse a reader.
When shares are issued they are issued with a par value of say 3 euro, but sold at a higher price of say 5 euro. The first three euro goes into the share capital and the extra 2 euro into the share premium reserve. Both are in equity.