One way to see where your conversations start and end is to use the Seam event model to observe the conversation start and ends.

public class ConversationListenerBean implements ConversationListener {

	private Log log;
	private Conversation conversation;

	public void observeConversationStart() {
		log.debug("Conversation #0 Started",conversation.getId());		
	public void observeConversationEnd() {
		log.debug("Conversation #0 Ended",conversation.getId());

Just add this bean into your project and it will automatically log when you start and end conversations.