
Davis R. answered 08/14/19
PhD Student in Italian with 7+ Years of Teaching Experience
Italian used the second person plural pronoun "voi" ("you all") as a formal way of saying singular "you" up until the beginning of the 20th century, when it was replaced by "Lei", except in some areas of Southern Italy.
"Vi" is the object pronoun corresponding to "voi", so the singer would be referring directly to a single person in these sentences. "V'amo di core" would thus translate to "I love you (singular, formal) with all my heart".