Negotiation Support Systems offer a sophisticated support of electronic negotiations. During a negotiation process, different types of conflicts can occur. Up to a certain level, they can be constructive, afterwards they become destructive. Such escalating conflicts should be handled and resolved. In this paper, the potential and challenges of conflict resolution support for such type of negotiations are discussed. Based on a state-of-the-art in electronic negotiation support, the application of the concepts of moderation, consultation, and mediation for conflict management and conflict prevention during an asynchronous electronic negotiation process is discussed.