Born in Rome, Minghi started his career in the mid-1960s participating in a large number of musical contests, and then making his professional debut in 1966 with the single "Alla fine", with lyrics by Mogol.

[1] Following a new single in 1971, in 1973 he released his first eponymous album, with the uncredited collaboration of Francesco De Gregori.

[1] In the mid-1970s he was briefly a member of the musical ensamble Pandemonium, with whom he recorded his song "L'immenso", which got several international covers and was his first real success.

[1][2] His subsequent albums got him an increasing following, until the exploit in 1990 thanks to "Vattene amore", a duet with Mietta, a singer he produced; the song ranked third at the Sanremo Music Festival and topped the Italian hit parade for several weeks.

[1][2] Minghi has written songs for Andrea Bocelli, Mietta, Mia Martini, Anna Oxa, Marcella Bella, Gianni Morandi and Rossana Casale among others, and composed several musical scores for films and television series, including Fantaghirò (also known as Cave of the Golden Rose).