Are there instances in the Pali Canon of the Buddha offering teaching without being asked to?
I know he often decided the topic of his discourses himself, and also often seems to have started the discourses spontaneously. These seem to have been cases where the audience (Buddhist monks) can be seen to have been more or less expecting a teaching from him at some point, after all they had chosen to become monks and remained in his presence. I think this also goes for his first discourse with the group he used to practice asceticism with, since he knew very well that they were desperately looking for the kind of thing that he had discovered.
Instead, I'm asking for examples of him basically seeing or hearing of a person who isn't a monk, or at least a Buddhist monk, and deciding to offer them teaching. Or even more specifically, I'm interested in whether or not that ever seems to have happened, and how common it seems to have been compared to the usual pattern of people coming to him asking questions.