In italian conto means bill/check, why does the sentence Puoi scrivere per conto tuo, why does conto means “own” here?
Conto basically means account. Just like in English, it can mean different things. The bill, or “on your own account” in this case. Select the phrase “per conto tuo” to see it’s meaning. You should be able to click twice on conto to see the related phrases.