Speaking at the Lord Mayor’s Banquet, Mrs May cut a confident figure as she pledged to “do everything” she can to increase ties with the Asia Pacific region.
The Prime Minister said it is a region “that is home to some of the most advanced tech-friendly and open economies in the world, with huge demand for British innovation, design and quality”.
Mrs May added: “I will do everything I can as PM to accelerate the progress we are making in strengthening relationships across this region.”
On Brexit, the Prime Minister said the UK is working “extremely hard” to reach a deal ahead of Britain’s departure from the EU.
But the Prime Minister warned that outstanding issues are “significant”.
Mrs May said: “The negotiations for our departure are now in the endgame.
“We are working extremely hard, through the night, to make progress on the remaining issues in the Withdrawal Agreement, which are significant.”
Taking on a tough tone, Mrs May said that the UK would not strike a Brexit deal with the bloc “at any cost”.
The Prime Minister said: “Overwhelmingly, the British people want us to get on with delivering Brexit, and I am determined to deliver for them.
“I want them to know that I will not compromise on what people voted for in the referendum.
“This will not be an agreement at any cost.”
Mrs May also addressed the UK’s relationship with Russia in her speech at the Guildhall in London.
The Prime Minister said Britain was open to improving relations with Moscow, following the nerve agent attack on Sergei Skripal earlier this year.
Mrs May’s speech comes as she faces major opposition to her Brexit blueprint from within her own party and the DUP who the Prime Minister relies on for her House of Commons majority.
On Sunday, a group of Tory Brexiteers and the DUP promised they would vote against her Brexit deal if it threatened to break up the UK.
Writing in the Sunday Telegraph, Steve Baker, deputy chair of the influential European Research Group, and DUP Brexit spokesman Sammy Wilson said: “If the Government makes the historic mistake of prioritising placating the EU over establishing an independent and whole UK, then, regrettably, we must vote against the deal.”
And last Friday, Boris Johnson’s brother Jo Johnson resigned as transport minister over the Prime Minister’s Brexit proposals in yet another blow to Theresa May.