Best method to "curl up" upper lip? (Photo)

JUVÉDERM® Ultra
XC is for injection into the lips and perioral area for lip augmentation in
adults. An expert injector can artistically enhance your lip lines and create a symmetry that looks natural!#JuvedermULTRA   #lipenhancement   #augmentingliplines

Whether you’ve noticed
your lips thinning over time, or simply want fuller lips, JUVÉDERM® Ultra XC or
RESTYLANE SILK can give you natural-looking results that lasts more than
9 months. In fact, 78% of people treated experienced improvement in
satisfaction with the look and feel of their lips 1 year later!We suggest finding a reputable practice with expert injectors for
the blend of science and artistry!  A soft fill in the border and underside of your lip should do the trick!
#lipenhancement #JuvedermUltra
#RestylaneSilk

By the looks of your photo, I would say that you can achieve a nice result with filler to the lips.  If you are still interested, you should consider having the filler done again.  Be sure to ask for before and after photos and ask your injector about his or her experience dealing with your type of concern before having it done.  A skilled injector should be able to provide you with the results you are looking for.