I had this problem with a leather belt - from Coach of all places!
Leatherique worked a little, Woolite worked a little, Magic Eraser worked a little, but nothing took it all out. I tried about everything out there and those were my three best workers.
If you've tried your arsenal (APC, steel wool, leather cleaner, erasers) and can't get it all out, just stop working on the stain before you remove the factory dye entirely.