The latest peace proposal calls for warring parties to return to negotiations and continue working out some of the thorny issues that derailed diplomatic efforts.
Analysts and lawmakers are trying to divine whether Mr. Trump's latest announcement means negotiations with Iran will truly get underway Monday or if the president is just working through unappealing options.
Oil prices fell on Monday as investors pared geopolitical risk premiums after U.S. President Donald Trump said he had called off a planned strike on Iran.