Trileptal is actually a reformulated version of Tegratol, they are both anticonvulsants also used for mood stabilization. Tegratol was know to sometimes cause (a rare) drop in all blood cells in some people, a potentially deadly side effect. Trileptal was made to overcome this dangerous side effect. Tegratol in generic is called carbamazapine, Trileptal in generic is called oxcarbazapine, so you can see the resemblance. Tegratol has still been used for many years, and the drop in blood cells (called aplastic anemia) is fairly rare. Trileptal is not known to cause aplastic anemia, although it can still cause side effects like skin rash or drop in blood sodium.
I would say try it and let your doctor know of any unusual (if any) side effects you may have. All medications cause some side effects, especially at the beginning, but they usually aren't dangerous. The main thing to look out for with any medication is rash, this could be a sign of something serious. Other than that, you may feel sleepy, dry mouth, etc. Remember that these are medications for epilepsy, and some people with epilepsy need to be on them for years on end, so overall they are fairly safe meds.
Just to reiterate, try it. If you notice anything unusual call your doctor ASAP to see if it's anything serious.