The trip also includes talks with President Catherine Connolly and Prime Minister Micheál Martin, giving the visit a diplomatic layer beyond the golf tournament.
More than 50 days before the midterm elections, the visit follows two days in Dallas where Trump urged turnout and floated $5,000 payments to adults if Republicans keep Congress.
That mix of campaigning and personal projects comes as Republicans face a tough fight to hold Congress, with polls showing voter concern about Trump's priorities and some in the party pressing him to spend more on competitive races.