In Itelmen, the agreement suffix on the verb can be controlled by subjects, direct objects, indirect objects, as well as possessors. Possessors only seem to be able to control agreement when their host is the subject of an intransitive verb. They trigger oblique agreement. The presence of agreement appears to be conditioned by the information structural status of the possessor.
Bobaljik, Jonathan D. and Susi Wurmbrand. 2002. Notes on agreement in Itelmen, Linguistic Discovery 1(1).