The phrase "international reputation" refers to how well-known and respected a person, organization, or country is on a global scale. It indicates the perception and standing that they have among people and other nations around the world.
While our School is research intensive it maintains a strong international reputation for the quality of its scholarly activities. (tcd.ie)
Obviously in the recent past there was a move toward celebrity curators with international reputations. (sfaq.us)
Also to strengthen Turkish International reputation in contemporary art circles and improves its national market place in the art market. (artlyst.com)