The phrase "silver rims" typically refers to the silver-colored edges of a circular object, like the rim of a car wheel or the frame of eyeglasses. It implies that these objects have a shiny silver appearance. Full definition
I had a one year old try to eat my cinnamon sticks that I had out in a glass with silver rimmed bowl. (theinspiredroom.net)
Our dishes aren't plain white, they have a pretty silver rim around the outside. (aburstofbeautiful.com)
Each place setting is layers of china beginning with a glass charger plate as the base and next a beaded silver rim and cobalt blue dinner plate placed on top. (christmastablescapedecor.com)