When faced with a negotiation stalemate, it's crucial to maintain a strategic approach. Begin by reassessing the situation to understand the root cause of the impasse. Engaging in active listening can reveal underlying concerns that may not have been initially apparent. Introducing a third-party mediator can also provide a fresh perspective and facilitate a breakthrough. Additionally, taking a break from negotiations can allow both parties to reflect, regroup, and return to the table with renewed focus and willingness to compromise. Remember, the goal is to reach an agreement that is acceptable to all involved, and sometimes a pause can be a powerful tool in achieving that.