Final answer:
President Woodrow Wilson was the first U.S. President to travel to Europe during his presidency, with the objective of shaping peace following World War I, contributing to the Treaty of Versailles, and advocating for the League of Nations.
Step-by-step explanation:
The American President who made the first presidential trip to Europe during World War I was President Woodrow Wilson. He embarked on this historic journey with the purpose of shaping peace after the brutal conflicts of the War. His aim was to put an end to what was hoped to be "the war to end all wars" and to play a role in the monumental task of redrawing the map of Europe after the collapse of the German, Russian, Austro-Hungarian, and Ottoman Empires. Additionally, President Wilson was pivotal in the development and signing of the Treaty of Versailles, which officially ended the war.
President Wilson was also an advocate for a new system of international relations that would prevent such wars in the future, known as collective security, a vision realized through the founding of the League of Nations. Despite his efforts and the pivotal role he played in ending the war and shaping the postwar world, the United States ultimately did not ratify the Treaty of Versailles nor join the League of Nations.