Surname Grui (Grui 
, Груй 
) , all over the world, is a rare family name. The family name Grui is characteristic of Romania, where it is quite a rare surname, Ukraine, where it is a rare surname, and Switzerland. In absolute terms, this name is the most popular in Eastern Europe, particularly Romania, Ukraine, and Russia. Much less frequently, Grui is the forename as well as the last name.