President Trump Donald John TrumpBiden on Trump's refusal to commit to peaceful transfer of power: 'What country are we in?' Romney: 'Unthinkable and unacceptable' to not commit to peaceful transition of power Two Louisville police officers shot amid Breonna Taylor grand jury protests MORE said Tuesday that "everything" should be up for discussion as part of a trade deal between the United States and United Kingdom, including offering National Health Service (NHS) contracts to U.S. companies, something British officials have opposed.

Trump said during a joint press conference with U.K. Prime Minister Theresa May Theresa Mary MayAre US-Japan relations on the rocks? Trump insulted UK's May, called Germany's Merkel 'stupid' in calls: report Bolton says Boris Johnson is 'playing Trump like a fiddle' MORE that he believes the two countries will be able to establish a "great and very comprehensive trade deal." Asked if the NHS, the U.K.'s publicly-funded health care system, should be included, Trump said yes.

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"Look, I think everything with a trade deal is on the table," he said. "When you’re dealing with trade, everything’s on the table. So, NHS or anything else. Or a lot more than that. But everything will be on the table. Absolutely."

U.S. Ambassador to the United Kingdom Woody Johnson first broached the idea in an interview on Sunday with the BBC, saying the entire economy should be considered when discussing a trade deal.

The comments from Trump and Johnson could complicate trade talks moving forward, as numerous British officials have objected to the prospect of offering up NHS contracts to U.S. companies as part of a deal.

May, who will step down as prime minister in the coming weeks, sought to temper expectations immediately after Trump's answer.

"The point about making trade deals is, of course, that both sides negotiate and come to an agreement about what should or should not be in that trade deal for the future," she said.

Any bilateral trade deal will be left to May's successor to negotiate, and will have to wait until after the U.K. leaves the European Union.

Multiple politicians vying to replace May as prime minister have said they would rule out including the NHS in any prospective trade deal.

A recent YouGov U.K. survey found that those surveyed view the NHS highly, with the health service coming in second among institutions respondents were most proud of, behind the fire brigade.