They have also signed a deal to preserve the rights of some 43,000 British nationals living in Switzerland and the 35,000 Swiss living in Britain after Brexit.
Communities Secretary James Brokenshire said Sunday that Parliament would get to pass judgment on May's Brexit plan "by no later than February 27".
The prime minister is aiming to allay lawmaker concern that, unless they vote to take control of the process and order her to seek an extension of European Union negotiations, they will have lost their chance to avoid a no-deal Brexit.
With only 47 days to go, there have been claims the prime minister is running down the clock to make it more likely that MPs will back her withdrawal agreement as so many of them fear a no-deal departure.
A Dutch consumer watchdog is urging companies that do business with Britain to register now for digital systems that are used to process import and export checks and to issue certificates, warning there could be a rush if there is a no-deal Brexit.
Two years ago, the International Trade Secretary Liam Fox said that updated versions of all those treaties should be ready to sign within a minute of Britain leaving the EU. "There needs to be a day when Parliament says that's it, enough is enough".
The Prime Minister is expected to ask MPs to give her more time to secure changes to her Brexit deal, as well as promising them another say on her plans, in a bid to placate ministers anxious about a no-deal exit.
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Representative Ilhan Omar , Democrat of Minnesota, speaks during a press conference calling on Congress to cut funding for U.S. Immigration and Customs Enforcement (ICE) and to defund border detention facilities, outside the U.S.
A year ago the government said it wanted to replicate the EU's trade agreements "as far as possible".
Mr Brokenshire refused to commit to this in an interview with the BBC's Andrew Marr Show, saying there could be more votes on amendments to the proposed deal instead.
But he confirmed a meaningful vote on whether to accept or reject a revised deal might not happen until March.
While US banks want Britain to maintain the closest possible ties with the European Union after Brexit, UK banks and insurers are anxious they do not become beholden to new laws made by Brussels, two of the people said.
The move is aimed at postponing a rebellion by ministers who are committed to removing the possibility of the United Kingdom crashing out of the European Union without a deal on March 29. British lawmakers in January overwhelmingly rejected the deal she had agreed with Brussels previous year.
Anti-Brexit protestor outside the Houses of Parliament, in Westminster, London.
Last month, Parliament voted in favour of an amendment that supported most of the PM's deal but called for backstop - which is a last-resort option to prevent a hard border in Ireland - to be replaced with "alternative arrangements".