Adrone hit a Baghdad hotel where Italian troops were staying late on Monday, sources said, adding that the Italian military personnel were not injured.
It is the latest in a series of scares for Italian troops deployed in the Middle East since the outbreak of the Iran war.
Also on Monday debris fell at the UNIFIL base in Shama in southern Lebanon, home to the Italian-led Sector West Command.
It was likely caused by rockets intercepted in the air by Israeli anti-missile systems.
An Italian soldier, who was immediately treated and assisted by medical personnel at the base, complained of eye pain despite being uninjured.
