I was hinting at a very specific aspect of Freud’s theories, Korano
To answer your question: I think quite a lot of westerns (Italian as well as American) were influenced by Freud
In the first half of the 20th century, or at least large parts of it, Freud and his psycho-analysis were the dominant tendency within psychology (and psychiatry). In the sixties, when the spaghettis were made, he was still considered as one of the great thinkers in human history, and his work was very popular among students, along with the work of, for instance, Adorno, Sartre and Foucault.
Since then his reputation has paled, some people have even sustained he was a charlatan and quack doctor
(I can give you some titles if you wish to know more about the subject)
As far as I know, psycho-analysis has become rather marginal within psychology and most scientists and philosophers think Freud’s work should be read as ‘literature’: his theories are not scientific in the sense that they can’t be tested or falsified, they’re just an interesting (or if you hate him: boring) look at the human condition and a way to explain human conscience. In France psycho-analysis still is of some importance (both as a docrine and as a therapy), mainly due to the works of Lacan.