Let me get this straight... you're using a 4mm diameter end mill to do what radius corner(s)?
In other words... what is the diameter of your tool, and what are the radii you're trying to produce? I'm going to guess and hope you're at least one or two sizes down in the radius of your end mill compared to the radii of your corners.
I've had better luck not trying to match the radii too close. (Obviously never same-same) Like sometimes you'll have better luck with a 3/16 end mil instead of a 7/32 trying to make a 1/8R corner. The more sweep you've got going thru the corner the better. And yes... pre-drill it close like was mentioned.
One other thing you can try depending on fit and finish, is pre-drill the corner close, then drill the corner with a 4 or 5fl on size end mill. Have the end mill back away from the wall on the way down just a thou or two. Make the tiny Z move perpendicular to the corner. Best to get a corner radius end mill, but not to much radius, as the bigger the radius the more deflection it will want to produce. You still might have to deal with a little material on either side of the radius of the corner, but at least the very corner is taken care of, and the all-done-corner allows a larger tool to clear the near sides of it, because you can clear away from the cut before you hit the corner fully. Even if you need to run a finish cut clear around the profile with one last tool to make your blends perfect, the fact the nearly all the meat is gone will only help matters. Good luck making your CAM do this.. Might take a little manual intervention after the CAM gives you something to start with.