An extinct language spoken in that region, the Hattic language.
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Hattic was a non- Indo-European language spoken in Asia Minor between the 3rd and the 2nd millennia BC, before the appearance of the Hittites.
Hattic appears to be related to the Northwest Caucasian (Circassian) family.
The names "Hattic" and "Hittite" are modern terms, and both are apparently derived from the same word, the ancient name of the region where the two cultures flourished, which has been reconstructed as Hatti in the Hittite language.