Formerly, the species was distributed in India, Nepal, Pakistan, Kazakhstan and Tadjikistan in submontaneous regions at the highest mountain ranges of the world: Himalayas, Karakoram and Pami. It was first recorded in Europe in 1979, when a female was collected near the village of Grätsch in southeastern Austria. It is assumed that S. curvatum was introduced to Europe as a result of human activity, but after that the species has been spreading throughout Europe on its own. S. curvatum has been quickly enlarging its range, forming mighty populations in anthropogenous localities (towns, villages) in southern and central Europe. Since 1979 the species has expanded to several other European countries: Slovenia, Italy, Croatia, Switzerland, France, Hungary, Germany, Serbia, Montenegro, Greece, Czech Republic, Spain, Slovakia, Ukraine, Portugal, Poland and Romania.