Folks, I'm having trouble with sparkles in a mirror, and I'd like some help.

This set up has many light sources.  Two meshes indoors, and a sun outside.  For the most part I adjusted the light to be the film is ISO 200, 1/60, 5.6 fstops.  I generally start with the film settings, then adjust the light to suit.  (That gets rid of most issues I have with sparkles.)

This scene is rendering just fine, but I get excessive sparkles in the mirror.  I don't understand why its happening, let alone how to clean it up.

Do I need to somehow light it from the other side?  Can anyone help?