It is quite possible for the client to be aware in the present time and, yet, to be continuing to process the past life. During the memory or re-living part of the session, the client can be aware, simultaneously, of both the past lifetime and the current life. Most clients immerse so deeply into a past life that they need a few minutes for re-orientation into the present. More information might come. It happens frequently that, right at the end of a session, a significant piece of information is disclosed by the client.
Therapists refer to it as the doorknob syndrome.
In general, the client is eager to talk about the experience. Perplexed or amazed, rarely speechless, there usually is much to share. While many clients come to you because of an interest in the spiritual area of life, your client might have an agenda of a therapeutic nature, e.g. fears, health, relationships. The debriefing should be related to the presenting issue. In most regression sessions, that question is unnescessary because the agenda's past-life roots quickly become evident.