This was a fascinating one and I thought it worth a think. Check the below workflow @runneals -- it has not been tested but I believe it should do as you want. The key trick is to use the Sampler to get us the LAST dissolved area AFTER that area has found its way into the PointOnAreaOverlayer. We ensure this by noting the port output order -- you can right click on a port to adjust these, but in general, whatever you connect first, goes there first, and 2nd, goes there second. So if we can get the last area this way, we then can use that as a trigger / initiator feature on the FeatureReader to pull our points out. Giddy up, it should just work. Let us know if it does.
