Does maybe the Italian Government keep a searchable database of passengers arrived from the U.S.A. by ship during the period 1918-1922?

Does the U.S. Federal Government keep a searchable database of passengers who departed from a U.S. port to Europe during the period 1918-1922?

My maternal grandmother came to the USA in 1914. According to the "List or Manifest of Alien Passengers for the U.S. Immigration Officer at Port of Arrival" she boarded the S/S Canopic on Feb. 21, 1914, in Genoa (Italy) and arrived in Boston on Mar. 9, 1914.

Many, many years ago she had told us ...