I've had good results in the past with either Goo-Gone or WD-40.They'll both help break down the glue so you can scrape it off with your finger nails or something with a plastic edge.Be careful with anything other than fingernail force and hardness.Probably pretty easy to scratch the black finish on the trim.Rubbing alcohol may loosen the glue up too,just take your time and let whatever you use soak in and soften the adheasive.
