If it doesn't come off easily with abrasives, I'm sure the rust would come off with Evapo-Rust. I'm not a chemist, but this stuff truly seems to attack only rust leaving the unrusted metal untouched. For a spot like that a bit of paper towel soaked in the liquid would hold it on the rust spot until it's had time to work. Mind you, if that's a big pit, you'll be left with a (rust-free) pit you'll still need to deal with, but at least you've stopped the deterioration and can spread out the rest of the repair.
(Woodworking circles use Evapo-Rust mostly in repair / restoration of old tools. Once cutting edges are pitted there are additional issues in play.)