The question contains a common misconception. The turkey (Meleagris gallopavo) is a single species native exclusively to North America. It does not have distinct European or Asian subspecies or populations.
Wild turkeys historically ranged across the eastern and southwestern United States and into Mexico. The domesticated turkey derives from the South Mexican wild turkey (M. g. gallopavo), brought to Europe by Spanish explorers in the 16th century, then re-imported to North America by colonists.
A second species, the ocellated turkey (Meleagris ocellata), exists only in the Yucatán Peninsula (Mexico, Guatemala, Belize). Neither species has natural populations in Europe or Asia. Any turkeys there are domesticated farm birds or recent introductions.