Go out at night with a flashlight and you will see five times more of them. If you gave your lychee super nutrition via foliars they just might stop eating those leaves. I have a Kent mango tree they used to attack but now they don't. The tree got stronger as it got older so that the leaves had natural defenses and repelled them. (my opinion)
If you are dedicated go out at night. Put tarp on the ground. Shake the branches. Stomp on them. Squishing one at a time is too slow. Or gather up the tarp so the bugs get bunched up and drown them in a five gallon bucket of water. A little kerosene aka diesel fuel on the water will really do them in
http://charlotte.ifas.ufl.edu/horticulture/newsarticles/SriLankaWeevil.pdfOne additional mechanical control method
involves (believe it or not) the use of an
open,
up-side down umbrella! Shake a branch
infested with weevils while holding the
umbrella under the branch. The weevils will
fall into the umbrella for easy disposal.Natural enemies to control these beetles seem
absent other than one identified fungal
disease.
One final note involves the Sri Lanka Weevil
larvae. Although the larvae feed on plant.........