Final answer:
The Quasi-War with France ended President Adams's attempt to seek peace.
Step-by-step explanation:
The event that ended President Adams's attempt to seek peace in France was the Quasi-War. The United States tried to maintain a neutral stance, but France began seizing American ships. Adams sent envoys to negotiate a treaty, but the French attempted to bribe them in the XYZ Affair. This led to a desire among Americans to defend their honor, resulting in the Quasi-War with France.