Saudi Arabia is concerned that 9/11 relatives will be able to sue the kingdom for damages, the foreign ministry says.

On September 28, the Congress voted for a law allowing families of nearly 3,000 people killed in the attacks to sue.

In doing so they overrode a veto by President Barack Obama, who said it would set a “dangerous precedent”.

Fifteen of the 19 hijackers that day were Saudi nationals, but Saudi Arabia has denied any role in the attacks.

In a statement, Saudi Arabia’s foreign ministry said: “The erosion of sovereign immunity will have a negative impact on all nations, including the United States.”

Their argument parallels the one made by Barack Obama.

The president said on CNN after the vote that the law set a “dangerous precedent” and could lead to the US being opened to “a situation where we’re suddenly exposed to liabilities for all the work that we’re doing all around the world and suddenly finding ourselves subject to private lawsuits”.

Meanwhile, leaders of the Republican Party in Congress have said they want to reconsider the law. The Senate majority leader Mitch McConnell admitted that lawmakers had not understood the possible consequences of the legislation.

“Everybody was aware of who the potential beneficiaries were but nobody really had focused on the downside in terms of our international relationships,” he said.

The White House spokesman Josh Earnest said it was “a pretty classic case of rapid onset buyer’s remorse”.

On CNN, Barack Obama also suggested that that voting patterns in Congress were influenced by political concerns.

“If you’re perceived as voting against 9/11 families right before an election, not surprisingly, that’s a hard vote for people to take,” he said.

“But it would have been the right thing to do.”

Saudi Arabia, the US key ally in the Middle East, had lobbied furiously against the Justice Against Sponsors of Terrorism (Jasta) legislation.

It has stopped short of specifying how it might retaliate but has called on Congress to reverse the decision.

Relatives of those killed in 9/11 have welcomed the bill’s passing.

“We rejoice in this triumph and look forward to our day in court and a time when we may finally get more answers regarding who was truly behind the attacks,” said Terry Strada, national chair of the 9/11 Families & Survivors United for Justice Against Terrorism.