Listening is the first step in conversation leading to Christ. We listen for felt needs, deeper needs and hunger for healing and ultimate reality.
Helpful tools to consider:
Goertz, Les. Not-Yet-Christian: The 10 Stages of the Spiritual Journey. Abbotsford, BC: Mile Marker Press, 2013.
Response to objections:
Hell: the objection comes in many forms. Here is a short, helpful video from Greg Koukl on how to engage in transformational dialague: https://www.youtube.com/watch?v=DOoUDpqtq-k