British Prime Minister Theresa May and U.S. President Donald Trump both signaled a desire Tuesday to expand trade between their nations as they began a series of meetings in London.

Speaking at a business roundtable event, Trump said he thinks the two sides will reach a “very, very substantial trade deal” that is “very fair.”

May said Britain and the United States could expand their economic partnership with a bilateral trade deal and that her governmentbelieves in “keeping markets free, fair and open.”

Trump has pursued new trade arrangements with a number of major U.S. trade partners, including China, with a stated goal of making terms more friendly to the United States.

In addition to speaking with business leaders, Trump and May are holding bilateral talks and a working lunch Tuesday before appearing at a joint news conference.

Trump and his wife Melania will then have dinner with Prince Charles and his wife, Camilla, Duchess of Cornwall.

Monday was a day full of pomp and circumstance with Britain’s Queen Elizabeth greeting President Trump and Melania after they arrived at Buckingham Palace by helicopter. After a welcoming ceremony that included a 41-gun salute, the Trumps had a private lunch with the queen and a tour of the palace art gallery.

​The rest of the day included inspecting the Guard of Honor formed by the Grenadier Guards, a tour of historic Westminster Abbey, tea with Prince Charles at his London home, Clarence House.

But the highlight of the day was the white-tie-and-tiaras state banquet at Buckingham Palace. Besides the queen and her husband Prince Philip, other royals in attendance included Prince Charles and Camilla, and Prince William and his wife, Kate, Duchess of Cambridge. 

Also at the dinner were Trump’s four adult children — Donald Trump Jr.; Ivanka Trump and her husband, Jared Kushner; Eric Trump and his wife, Lara; and Tiffany Trump.

Trump said in his toast that the liberation of millions from tyranny in World War II “forever sealed” the bond between Britain and the United States. 

In her toast, the queen said, “Tonight, we celebrate an alliance that has helped to ensure the safety and prosperity of both our peoples for decades, and which I believe will endure for many years to come.”

​Noticeably absent from the Trumps’ day was Meghan, Duchess of Sussex, the American-born wife of Prince Harry who is on maternity leave after giving birth to a son last month. She had been critical of Trump during the 2016 presidential campaign. 

Trump’s visit comes as Britain is in the midst of political turmoil, as May is scheduled to resign on Friday after failing to complete Britain’s exit from the European Union.

That process will be inherited by her successor, with no clear path to a resolution among sharply divided parties.

Trump has publicly backed former Foreign Minister Boris Johnson, and told reporters late Sunday he may meet with Johnson and pro-Brexit politician Nigel Farage while he is in London.

​What is certainly not on his agenda is a meeting with London Mayor Sadiq Khan, who wrote in The Observer newspaper that welcoming Trump for a state visit is “un-British.” He cited Trump’s sharing of tweets from a “British far-right racist group,” the president’s rejection of scientific evidence of climate change, and Trump “trying to interfere shamelessly” in the race to replace May.

When asked if he would be open to meeting with Khan, Trump said Sunday, “No, I don’t think much of him.”

WATCH: Trump remarks ahead of Britain trip

Upon landing in London, Trump continued his attack on Khan, calling him a “stone cold loser” who “has been foolishly ‘nasty’ to the visiting President of the United States, by far the most important ally of the United Kingdom.” 

Trump’s trip will also include D-Day commemoration ceremonies in both Britain and France, and a stop in Ireland.
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