What's the best treatment for under eye hollows without using a filler? (photo)

I recently got a filler done in the lips and asked if I would be a suitable candidate for any under the eye. The nurse told me because of my high cheekbones I wouldn't be a good candidate for this procedure, she also said my hollows were due to a lack of fat under the eyes. Is there a good alternative? I've heard of non invasive laser therapy and under eye lifts as potential procedures, though I'm not sure of their safety/reputability as it's hard to find much information on them.