country rank. World Rank. 601. University of Trieste is ranked #332 in Best Global Universities. Latest ranking updates related to universities in Italy. Such areas as “Natural sciences” and “Physics” are considered to be the most popular here. In the international ranking of universities is located at 625 place. 201–300 th. Native Name. The University of Trieste is a public institution that traces its roots back to 1877 when it was initially started as the School of Commerce.