A joint communiqué declared that rival parties have until midday Friday to commit to the agreement.
Japan's new prime minister, Yukio Hatoyama, is refusing, so far, to commit to the agreement, and the Obama administration is being less than patient.
Asked whether May was worried about Trump's comments on Nato, the spokeswoman said the UK was a leading voice in pushing members to commit to the agreement to spend 2% of GDP on defence.
It was up to the Greek people, they said, to decide whether they want to commit to the agreement — which includes banks' taking a 50 percent loss on the face value of their Greek debt — and to continue to use the euro.
Because the text of the TPP is secret until the countries involved commit to the agreement, it is essential for public health concerns to be articulated during the negotiation process.
We are firmly committed to the agreements we have reached and to conducting our business with the highest standards of integrity, compliance and control".
He noted that the armies of the two participating countries are "highly disciplined" and that the leaders of both nations are committed to the agreement.
Hamas, the Islamist movement that rules the Gaza Strip, is committed to the agreement that ended Israel's last big offensive, in late 2012.
Some 24 local authorities, including the London Water and Recycling Board, and major brands and manufacturers such as Coca-Cola, Nestle and Pizza Hut have also committed to the agreement produced by the Waste and Resources Action Programme (Wrap).
Yet nations that committed to the agreement in the 1990s "may find restrictions on size are contrary to the commitments given to limit adverse affects on financial service suppliers," the Barbados letter said.
