'arrivederla' originates from Italian, specifically the phrase 'a riveder La' (often written together as 'arrivederLa'), where 'a' meant 'to' and 'riveder' comes from Latin roots meaning 'to see again' ('re-' + 'videre'), and 'La' is the formal object pronoun 'you'.

'arrivederla' changed from the older Italian phrase 'a riveder La' (literally 'to see you again'), derived from the verb 'rivedere' (from Latin 're- + videre'), and eventually contracted/merged into the single-word form 'arrivederla' used as a farewell.

Initially it meant 'to see you again' (a literal hope or statement about meeting again), but over time it evolved into the conventional farewell 'goodbye' used in polite/formal address.