On Thursday, the Senate voted 53-45 to block two of the arms sales to Saudi Arabia included in the emergency declaration, with Republicans likeSenator Susan Collins of Maine, Senator Lindsey Graham of SC, and Senator Lisa Murkowski of Alaska voting with Democrats to block the arms sales.
The first and second resolutions of disapproval passed by a margin of 53-45 and a third vote, which covered a number of other resolutions relating to the arms sale, passed by 51-45 votes.
Seven Republicans broke with Mr Trump to reject at least some of the arms sales: Senators Susan Collins of Maine, Lindsey Graham of South Carolina, Mike Lee of Utah, Jerry Moran of Kansas, Lisa Murkowski of Alaska, Rand Paul of Kentucky and Todd Young of Indiana.
But the move sparked fierce opposition on Capitol Hill from those who feared the weapons may be used against civilians in Yemen by Saudi-led forces. While the resolutions are also likely to be approved by the House, supporters of the measures are well short of having enough support to overcome Trump's threatened veto.
Trump's call with his close but controversial ally came shortly after he said he was in "no hurry" to attack Iran - a rival of Saudi Arabia - over its downing of a United States spy drone.
Just hours before the vote, Iran shot down a United States military drone over the Strait of Hormuz.
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"The coalition is an ally of the West and the coalition is fighting a legitimate war at the behest of a legitimate government to stop Iran and its proxies from taking over a strategically important country - so the only beneficiary of a cut-off of weapons to the coalition is going to be Iran", he said. Jim Risch of Idaho, the chairman of the Senate Foreign Relations Committee.
The Saudi part of the arms package includes F-15 engines, Paveway Precision Guided Munitions, mortars, and parts for Apache helicopters, all of which are critical to meet the Iranian threat, the White House argues.
The view of some congressmen about the alliance between the United States and Saudi Arabia soured previous year after the murder of US -based columnist and Muslim Brotherhood advocate Jamal Khashoggi by agents of the kingdom.
But a small group of politicians has been voicing concern about the Saudi-led coalition's war in Yemen for years.
The war has killed tens of thousands, caused an outbreak of preventable diseases and brought the already impoverished nation to the verge of starvation.
The UK's arms sales to Riyadh have significantly bolstered the Saudi air force's capability to carry out air attacks in Yemen. "We can not morally continue to support such sales", Menendez said.
"If the Senate wants to show the world that, even if you are an ally you can not kill with impunity, this is the moment", Menendez said on the Senate floor.