phrase [usually PHRASE after verb] If you do something at someone's instance, you do it because they have ordered or requested you to do it. [formal]

What is contextual instance?

/ˈɪn.stəns/ C1. a particular situation, event, or fact, especially an example of something that happens generally: There have been several instances of violence at the school.

What does at the instance meaning?

at the instance of, at the urging or suggestion of: He applied for the assistantship at the instance of his professor. for instance, as an example; for example: If you were to go to Italy, for instance, you would get a different perspective on our culture.