The border issue has been one of the thorniest in Brexit talks.
"Today we have secured legal changes".
In the face of a revolt within her split cabinet, May has promised that if MPs defeat her plan, they will be able to vote Wednesday on whether to leave the European Union with no deal, or the following day on seeking a delay.
The original deal was rejected on January 15 by a majority of 230 votes in the parliament, giving the prime minister the worst defeat for a sitting government for decades.
A plane was reported to be on standby at RAF Northolt to fly her to Brussels to clinch an agreement if there was any sign of a deal emerging from talks over the weekend between officials.
"I hope progress can be made, if it is possible, as a no deal #Brexit would be a catastrophe", Verhofstadt tweeted. If members of Parliament choose to veto a no-deal Brexit, they will then get a vote on whether to delay the U.K.'s departure from the bloc.
May attempted to have the European Union resolve the concerns about the backstop in order to make the deal likely to pass, but made little progress.
Details of Tuesday's "meaningful vote" motion will be published by the end of Commons business, expected to be about 22.00 GMT, while Brexit Secretary Stephen Barclay will be making a statement before that.
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The Jaguars had hoped he would fill in for injured starter Leonard Fournette , but Hyde managed just 189 yards in eight games. He finished his Jaguars career with 105 tackles, 18 sacks, four forced fumbles and seven passes defensed.
The Irish airline said that it is putting plans in place to protect itself from a no-deal Brexit and ensure it will remain majority EU-owned and controlled.
Supporters of Brexit say that while the divorce might bring some short-term instability, in the longer term it will allow the United Kingdom to thrive and also enable deeper European Union integration without such a powerful reluctant member.
How will Prime Minister Theresa May be judged and what's her future? That has been a major defect in the Brexit plan since its inception; May's ability to work around it ended when her snap election backfired and she wound up relying on the DUP for her parliamentary majority.
The third, another referendum on Brexit, has lost momentum in recent weeks, but that campaign could be reenergized if Brexit is postponed this week - not least because the minister in charge of Brexit has held talks with lawmakers in favor of a second referendum in the past few days.
What's the likelihood Parliament would vote for a "no-deal Brexit"? Downing Street has denied those claims.
Lawmakers will spend several hours on Tuesday debating the prime minister's deal. Pound investors are already pricing in postponement, which could allow lawmakers time to push for a softer Brexit, or even scrap the divorce altogether.
But, many ministers are opposed to a no-deal exit, meaning May could face resignations from her government if she asks lawmakers to back that policy.
As so much with British politics, the unexpected has become the surer bet. Not everyone is going to get their own way, but after events in parliament this week, the future of the United Kingdom will become clearer.