In fascist days, Italian foreign intelligence and espionage services were firmly under the control of the military, and a turf war between the military establishment and the Italian foreign office meant that they had little connection with, and made little use of, Italy's diplomatic network. They also focussed on obtaining information on military, rather than political, matters, and from a military point of view Ireland was insignficant. I'd be surprised if the Italian intelligence services paid much attention to Ireland before or during the war and, to the extent that they did, they probably didn't involve the Italian diplomatic mission in Ireland, but relied more on private and commercial visitors to Ireland.
Fascist Italy also had a domestic security service, controlled not by the army but by the police and the Fascist party, but it only operated in Italy itself and in territories under Italian occupation. Late in the war Mussolini - who felt he could no longer trust the military establishment - tried to expand it to operations in foreign countries, but not much was acheived in that regard before his fall, and it's very unlikely that Ireland would have been on any list of countries of interest.