I think the term pre-evangelism is helpful if pretty ghastly. What does it convey?

  1. The 'pre' conveys that the activity in question is in itself not evangelism, so that we are not mistaken about what constitutes evangelism.
  2. The 'pre' also conveys that the activity is not meant to be evangelism, so that we can be confident that our non-Christian friends will be safe.
  3. The 'evangelism' conveys that the activity still has a latent goal - to share the good news with non-Christians. Sometimes this goal is rightfully secondary, just under the surface. This is true with events such as a public lecture or debate. Sometimes the goal must be consciously made tertiary, so that other things like friendship and love are dominant. This ought to be true with church social events, for example.