Hi there. I find the best way is to layer the paint (using your touch up) over a period of time. Meaning place one layer down and let it dry, and then continue the process with more layers. Do this process untill the touched up area is protruding ever so slightly from its surrounding, original painted, area. Once this is dry and completed, you will need a rotary polisher with a slightly aggressive pad and polish combo to bring the protruding area back down to the same level as the surrounding area. Once you have it level, use a finishing polish and pad on the rotary to refine the area. This is due to the harsher compound used before will leave holograms and defects of its own. This should leave the area looking pretty good, with great clarity.
(I would also suggest an ipa wipedown in between the polishing stages, just so you know exactly what the general paint truely looks like)
Hope that helps!
Mike