I go through a system of things when this happens. First remove the fitting and see if there is hard packed dry grease behind it, if there is, pick as much out with an o-ring pick as you can., spray with Kroil or similar penetrant. Check the fitting to see that grease will go through it. If it does, reassemble, and try again. If its still stuck, remove again, clean out with a pick again, this time replace grease fitting with a close pipe nipple and cap. Remove cap and spray it full of Kroil, recap. Every time you walk past the machine, or use it, refill the nipple with Kroil. Eventually you will have to try the next step of using a porta-power hydraulic tool, or a hydraulic line to force hydraulic fluid into the fitting. Use caution when doing this, as hydraulic fluid embolism is a nasty way to die. (fluid under pressure injected into skin) Best way to avoid this is to NOT have your skin anywhere near any potential leaks.
What you need to do is to plumb a porta-power into the pipe nipple into the grease fitting hole. Hydraulic fluid is thinner than grease, and will work through the joint. Once you have the porta-power plumbed in, and pressurized, work the joint in question. Work, repressurise, work repressurise, etc. You can substitute tractor hydraulic pressure for the porta-power if you have the remote port handy, or a long enough hose. Just remember that if anything breaks, don't be near it, or have anyone else near it. If this trick doesn't work, its time to get out the torch!
