She mentioned the trans-Atlantic alliance during World War II and afterward, when the U.K. and the US set up the United Nations and NATO - organizations Trump has strongly criticized.
"I think there is much that we can do in the interim in terms of looking at how we can remove some of the barriers to trade in a number of areas so that we are able to see an advantage for both of us even if we haven't actually been able to sign that legal free trade agreement", she said.
She also said she extended an invitation to visit England on behalf of the queen and that Trump has accepted. The United Nations, the World Bank, International Monetary Fund and North Atlantic Treaty Organisation, she said, were all products of the countries' long friendship and desire to build world peace - an ideal that stretches back to before the first World War.
Britain's Prime Minister said now that the United Kingdom is leaving the European Union it is ready to build new relationships.
"As far as the U.K.is concerned on sanctions on Russian Federation in relation to their activities in Ukraine, we have been very clear that we want to see the Minsk agreement fully implemented", she said, referencing the plan to bring long term peace to Eastern Ukraine. I've been open about that for a long period of time. Last week, Ms May admitted she would not raise Mr Trump's controversial and demeaning comments about women, despite terming them them as unacceptable.
The spokesman made the remarks after a TV interview where Trump said he supports the torture of terror suspects.
Yesterday, May addressed the Republican congressional retreat in Pennsylvania where she evoked the memory of Margaret Thatcher and Ronald Reagan in an attempt to convince the United States to renew its "special relationship" with the UK. "It's a great honour to have Winston Churchill back".
China's Yancoal grabs Rio Tinto's coal mines in $2.45bn deal
Australia's Newcastle coal, an Asian thermal benchmark, surged more than 80% in 2016, snapping five years of declines. Hunter Hillcoat, analyst at Investec, said Rio had achieved a "good premium" to Coal & Allied's book value.
"This also demands a wider effort because. until we kill the idea that drives it, the ideology, we will always have to live with this threat", she said.
The visit Friday comes a day after Mexican President Enrique Pena Nieto called off his own trip to Washington, planned for next week, amid wrangling over who will pay for Trump's planned wall along the U.S. -Mexico border.
Though he declared his "love" for the Mexican people, Trump said, "The United States cannot continue to lose vast amounts of business, vast amounts of companies and millions and millions of people losing their jobs". "The days Britain and America intervening in sovereign countries in an attempt to remake the world in our own image are over".
Without mentioning Ireland, Mr Trump went on to say that securing approval from "the country" was "easy" and efficient but not from "the consortium" - a reference to the EU.
The president continued, "I happen to feel it does work".
"Let me remind you that [Putin] called 18 months ago for the formation of a full-fledged, universal front for fighting terrorism, and this initiative is still on the table", Lavrov said in Budapest on January 23.