Fulmer has wanted to bury the hatchet for many years, but hasn't pushed it out of respect for Majors. He didn't want to be publicly turned down, both for his own ego and for not wanting to add to some fans' negative opinion of Majors.
Several years ago, before the 05 season when Fulmer was still seen by most as a positive figure, a young staffer made a snide comment about Majors in the presence of Fulmer, which sent Fulmer off into a tirade about showing respect for one of the pillars of the program.
I don't think CPF liked the way the whole Majors situation went down, but he wasn't about to fight it. I think Majors still thinks deep down that Fulmer was behind the pushing out of him.
Still, it would be great if they could have, at least publicly, a friendly relationship.