Nostratic
Nostratic is a hypothetical language family consisting of Indo-European, Uralic, Altaic, Kartvelian, Dravidian, Afro-Asiatic, and, according to some authors, miscellaneous other languages. A similar hypothetical family, which may be a subfamily of Nostratic, is Eurasiatic, consisting of Indo-European, Uralic, Altaic, Eskimo-Aleut, and a few other languages.
The majority of historical linguists is doubtful of Nostratic and Eurasiatic. This is because the evidence is considered insufficient, and several mutually exclusive reconstruction attempts are in circulation. The most commonly cited reconstructions are one by the Russian scholars Vladimir Illich-Svitych and Aaron Dolgopolsky (now in Israel), and one by Allan Bomhard and John Kerns. The two teams use different sound correspondences; at most one of the two correspondence sets can be correct.
Nevertheless, this gives opportunities for conlanging, and there are indeed Nostratic conlangs. (Of course, an Indo-European or Semitic conlang would be Nostratic by the definition above). Danny Wier bases Tech on Nostratic; Jörg Rhiemeier’s Albic family is related to Indo-European and thus also Nostratic.