Neji is glad to see that Sakura seems willing to smooth things over with him. He doesn't have any real illusions or expectations of being BFFs or anything, but he figures that if they're both willing to do that, he can correct for earlier stuff and have the kind of professional-ish relationship that he tends to prefer.

He might also entertain the idea of helping Sakura train a little, since she showed some interest. Obviously, she can't really learn his fighting style itself, but there are component pieces that he could modify for her, pooooossibly. At the very least, he can give her some bits and pieces that are good practice, until she gets some of her own skills back. It's hard to say. But that's a way to deal with things that's inside his comfort zone.

Reverse? XD