Oil prices fell but remained near three-month highs on Monday after the United States and China agreed to an initial trade deal, a move market participants said could stoke oil demand and boost trade flows.The last-minute agreement that averted additional tariffs on Chinese goods totaling $160 billion lifted oil prices on Friday but investors remained cautious on Monday as they awaited Details of the Trade deal that is yet to be officially signed. U.S. Trade Representative Robert Lighthizer said on Sunday the deal will nearly double U.S. exports to China over the next two yearsand is “totally done” despite the need for translation and revisions to its text.