In Old Turkic, converbs in -(V)p and -y head non-finite syntactically subordinate clauses and their subject generally corefers with the subject of the superordinate clause, i.e. they are same-subject converbs (SS-converbs). Part-whole relations between the subject of the converbial clause and the subject of the superordinate clause also license the converb in -(V)p. Possession is in most cases overtly coded on the possessed subject, but Old Turkic arguably allowed unmarked possessed nouns to participate in switch-reference when in a part-whole relation with another subject.
See also Altai, Bashkir, Forest Enets, Karaim, Khalkha Mongolian, Khanty (Eastern), Khanty (Northern), Kirghiz, Shor, Tundra Enets, Tundra Nenets, Turkish, Tuvan (Altai), Tuvan (Jungar), Tuvan (Todža), Udmurt, Uyghur, Uzbek, Yukaghir (Kolyma), Yukaghir (Tundra).
Erdal, Marcel. 2004. A grammar of Old Turkic. Leiden: Brill.