Assigning points to overlapping buffers

Instead of the spatial filter, look at the spatial relator or a point on area overlayer. Both will allow you to build a list of all the buffered areas a point falls within, you can then explode this list so you have a point per buffered area.

If you are only buffering for the purpose of establishing points within a certain distance, you could also look at the neighbour finder transformer which would mean you don't have to buffer at all

Instead of using a SpatialFilter, use a SpatialRelator and explode the resulting list, so you end up with one point for each of the overlapping buffers.

@david_h SpatialRelator or also try PointOnAreaOverlayer - it might give slightly better performance depending on the data and particularly if you can re-order your readers to that the areas are read first. Then use the Areas First : Yes parameter.

Thank you everyone for your help.

I have managed to run a workflow using your advice and I can see in the feature information window, there are multiple related candidates for different points with the correct areas but I can seem to extract this information out into an output. (sorry I have only been using FME for about 3 weeks

You need to use a ListExploder to explode the related candidates list. This will duplicate the feature for each related area which you can then send to your writer and fanout by area.

Great! Thank you all again - I have achieved the desired result!