Answer: One specific foreign policy issue that was faced by the United States during the period between 1789 and 1812 was the issue of neutrality in conflicts between European nations.
The Federalists believed in a pro-British stance and supported neutrality in the conflicts between Britain and France. They argued that the United States should maintain a friendly relationship with Britain and support them as an important trading partner, as well as a key ally in protecting American interests. They believed that the United States should continue to trade with Britain, even if it meant that American ships might be attacked by French vessels. The Federalists also argued that the United States should provide economic and military support to Britain in order to protect American trade interests.
On the other hand, the Democratic-Republicans were more sympathetic to France and believed that the United States should support the French in their conflict with Britain. They argued that the United States should remain neutral in the conflict between Britain and France, but should still support France as a fellow republican nation fighting against monarchy. The Democratic-Republicans believed that the United States should not trade with Britain, and instead should establish closer economic and political ties with France. They also believed that the United States should limit its involvement in foreign affairs, and that the country should focus on domestic issues and the development of its own economy.
In summary, the Federalists favoured a pro-British stance and supported neutrality in conflicts between European nations, while the Democratic-Republicans were more sympathetic to France and believed that the United States should support the French in their conflict with Britain.