President Trump arrived on Tuesday morning in Saudi Arabia, his first stop on a four-day tour through the Gulf, the first major overseas trip of his second term.

Mr. Trump is focused on signing business deals with the three countries, which manage trillions of dollars in assets around the world. He has told advisers he wants to sign agreements worth more than $1 trillion. Deals are expected to include investments in artificial intelligence companies and energy production, as well as multibillion-dollar arms purchases from U.S. weapons manufacturers.

Crown Prince Mohammed bin Salman of Saudi Arabia, the kingdom’s de facto ruler, is expected to spend much of Tuesday with the president, culminating in dinner. The Saudi royals are expected to dust off their 2017 playbook for wooing Mr. Trump. During that trip — his first as president — a multistory image of Mr. Trump’s face was projected onto the facade of the Ritz-Carlton hotel in Riyadh.