I'm not sure if Christianity as a whole and Buddhism have a lot to talk about, but I can see that as individuals Buddhism can be of great assistance no matter what your tradition. I'm a progressive Christian but Buddhism has been a large part of my life since I first discovered it. Many mystical teachings of Christianity, especially eastern Christianity, have certain parallels with Buddhist teaching pertaining to non-attachment and the nature of the self.
Thomas Merton is a good example of someone went a long way in exploring Christian-Buddhist relations.