Fratelli d'Italia is one of the successor parties to the MSI, which is itself considered the successor party to the Italian Fascist Party. My impression is that Meloni and her associates represent the more bourgeois, reformist, family-oriented tendency of this tradition, in contrast to the more radical, masculine or revolutionary ones. If we take Chinese terminology as inspiration, you could probably call her platform 'Fascism with Soccer Mom Characteristics'.

I am taking it for granted that the FdI are putting up a more moderate front, though. My assumption is that they've got more in store than what they advertise publicly. If I am mistaken, that would mean that the closest parallel to Meloni's politics is instead Pat Buchanan.