I will resist no mention of pedantry... In Italy, these products are called both 'salumi' and 'affettati'. 'Salumi' is the general term for 'sausages and dried meats', and 'affettati' is an adjective, or technically a past participle, meaning 'sliced' (in the plural form). The complete expression is 'salumi affettati', i.e. 'sliced sausages and dried meats', or 'cold cuts', which is the way they are served in restaurants. But practice has cut that expression to the shorter 'affettati'.