In Nxaʔamxcin, in the context of a (possessive) applicative suffix on the verb, but not otherwise, the possessor of the direct object can control object agreement on the verb, rather than the direct object itself. Agreement features are person and number. Evidence for constituency of possessors controlling agreement and possessed nouns arguably comes from the possibility of passivising the whole possessive phrase.
See also Chimane, Mi’gmaq, Spokane, Tseltal, Tzotzil (Zinacantán).
Willett, Marie Louise. 2003. A grammatical sketch of Nxa'amxcin (Moses-Columbia Salish). PhD dissertation, University of Victoria.