To return to behaving reasonably

During the fight, John was so upset that he grabbed the guy and he really wanted to punch him. Then he came to his senses and he let him go

Durante la lite, Giovanni era talmente furioso che ha afferrato l'altro e stava per mollargli un pugno, ma poi è ritornato in sé e l'ha lasciato andare

In this expression, the term senses is used with the meaning of "a normal state of mind"