Senate Republicans reached an agreement with the White House on Tuesday to preserve funding for a flagship global HIV and AIDS relief program known as PEPFAR, backing off a proposed $400 million cut that had drawn sharp opposition from within their own ranks and threatened to derail President Donald Trump’s sweeping package of spending rescissions.

A bill striking billions in foreign aid will get slightly smaller after Republicans agreed to exempt $400 million in funding for AIDS prevention, a major concession to centrists wavering on the White House request.