And new evidence suggests that a combination of sumatriptan and the nonsteroidal anti-inflammatory drug naproxen, taken at the onset of a migraine, shows promise as abortive treatment.ON THE HORIZONTriptans provide great migraine relief, but they can be associated with side effects such as chest pain or discomfort, dizziness, sleepiness, nausea, and even a headache after the migraine.