There is a software product that I was developing in my free time, before starting the current job. It has some user base, but no huge success so far. Some good marketing probably could fix that. And as I know, my current employer - a large corporation with a number of different products - bundles a similar product that they license from a third-party company. I think that my product is better than this limited version that they bundle, but I'm possibly not fully objective.
This makes me wonder if I possibly could convince them to acquire my product for a reasonable price, and replace the third-party app with an in-house solution?
This product has nothing to do with my current job responsibilities.
Do you think that this would make any sense to them? And if yes, how would you approach this situation? What questions you'd ask if you were in their place?