Ankara views the main Syrian Kurdish factions as an extension of the PKK.
Araghchi met Turkish Foreign Minister Hakan Fidan and Egypt’s Badr Abdel Aaty on Wednesday.
Preliminary examinations suggest that the remains may date back to ancient periods, potentially from the Ancient Roman era or even earlier.
Israel and Turkey have entered into a diplomatic spat, with both sides accusing the other of occupying Syria.
The EU is also moving to reopen its mission in Syria, according to EU Foreign Policy head Kaja Kallas, France 24 reported.
The officials cited a significant Turkish military buildup near Kobani, a Kurdish-majority city on the Syria-Turkey border.
NATO member Turkey backed the Syrian rebels who toppled President Bashar al-Assad last weekend.
The main group in Ankara's cross-hairs is the Syrian Democratic Forces, or SDF, which was formed in 2015 with US backing.
Blinken's conversation with the Turkish diplomat comes in the midst of his Middle East tour to bolster a united front with Arab and Turkish allies in the region.
He added that possible Turkish and US roles for Syria's future were among the topics they discussed.
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