I am priming some walls which have two different paints exposed. The previous painter did not remove the coax cover plate when painting, and that older paint is causing problems for the primer. I'm using kilz2 latex primer.
Sand the problem area to scuff up the surface for better primer adhesion.
If that doesn't work or if it's possible that the underlying paint contains lead (which is not safe to sand) then an oil or shellac-based primer may work better.