Hello:
Once they are established Basilisks can eat quite a bit of food. They are also aggressive feeders as well. Being a smaller animal be sure you give it smaller food items until it starts feeding on anything. You can also try feeding dishes located below perch sites where the food cannot get away. See-Through containers are best for this. As I said, if the animal is eating some vegetation adding a few mealworms to the "salad" is a good idea.
Good Luck and keep us posted.
Have a Great Day!!!