Indeed, Rossi is a Finnish surname, too, by far not as common as in Italy, however. According to statistics, there are 2 473 people by the name of Rossi living in Finland meaning that it ranks 335th in the list of most common names. Number one in that list is Korhonen which is the name of 22 583 people in Finland (0,41 % of the entire population).

The earliest record of the name dates back to 1640 referring to a man by the name of Ambrosius Rossi. It's presumed that the name Rossi is a dialectic adaptation of Ambrosius.