Labour has asked for "a permanent and comprehensive UK-wide customs union" with the EU, with the same external tariff.
Mrs May said securing frictionless trade for goods was "one of our key negotiating objectives".
The Prime Minister's official spokesman said it would give MPs more time to "digest the content" ahead of a series of expected Commons votes on Thursday.
Writing her response to his letter of last Wednesday, Mrs May told the Labour leader: "It is good to see that we agree that the United Kingdom should leave the European Union with a deal and that the urgent task at hand is to find a deal that honours our commitments to the people of Northern Ireland, can command support in Parliament and can be negotiated with the EU - not to seek an election or second referendum".
It comes after Mr Corbyn last week set out five Brexit demands to the Prime Minister, among which included the United Kingdom joining a permanent customs union with the European Union.
"The fundamental negotiating challenge here is the EU's position that completely frictionless trade is only possible if the United Kingdom stays in the single market", she said.
"Of course we always want to work with the opposition but the opposition has put forward some ideas that are not workable", he told reporters. Liz Truss, the chief secretary to the Treasury, indicated she would resign if this happened.
While the prime minister made it plain she did not want this, several newspapers on Monday said May had held open the door to the issue, and thus the idea of a softer Brexit.
"I absolutely do not think that should be our policy", she told Sky News on Sunday.
In a further ominous sign for the Prime Minister, the influential European Research Group of Conservative Brexiteers was advising its members not to comment on Mrs May's decision to find common ground with Mr Corbyn.
"They will just try to do a deal that is toxic".
Asked if May thus realised she needed more Labour votes, Stewart said: "Certainly, the maths suggest that to get this through we're going to need support from all around the house".
"It is very clear from the European Union that non-EU members do not have a say in EU trade policy so to pretend that you could do so is a unsafe delusion".
Later on Monday, the Brexit secretary, Stephen Barclay, will go to Brussels to meet the EU's chief negotiator, Michel Barnier, following the PM's meetings in Brussels last week.
They said that if the now deployed measures are unable to drive the bears away, they may need to be culled. The arctic animals are recognized as endangered species in Russian, and hunting them is banned.
With temperatures already in the teens or single digits, meteorologists predict low temperature records could be broken on Sunday. Cities along the Washington-Oregon border near Portland are within the zones that may get more than three feet of snow in total.
'Ash-splash' dès le coup d'envoi, alors qu'il avait dû se contenter d'un statut de remplaçant lors de l'entrée victorieuse du XV de la Rose dans ce Tournoi des 6 Nations face à l'Irlande (32-20), et c'est Jack Nowell qui sort du quinze de départ.
Markle this weekend shared "devastating" details of a letter sent to him by his daughter last summer with the Mail on Sunday. Meghan also addressed her relationship with half-sister Samantha Markle: "I pleaded with you to stop reading the tabloids.
The Chinese delegation will be led by Vice Premier Liu He, who will be joined by central bank governor Yi Gang. Gerrish left his hotel in downtown Beijing on Monday morning without talking to the media.
While The Favourite took the most awards on the night, Roma secured the biggest gongs including Best Film and Best Director . In his acceptance speech, Malek thanked the late Queen's frontman as "the greatest outsider of them all".
Asked if the ships' passage would impact trade talks, Hua said that "a series of US tricks" showed what Washington was thinking. The so-called freedom-of-navigation patrols were reported earlier Monday by Reuters, which cited an unidentified US official.
Meanwhile, those who choose to watch the ceremony on TV can catch the live broadcast of the Grammy Awards at 8 p.m. Keys looked lovely in an emerald green jumpsuit while Obama looked like a sparkling boss in a belted pantsuit.
Nasa's New Horizons: 'Space snowman' appears squashed
Other solar system objects similar to MU69 - like comets , for instance - have rounder, though still imperfect, forms. But more importantly, the new images are creating scientific puzzles about how such an object could even be formed.
Scholes in the clear to become Oldham's new manager
If appointed by Oldham , Scholes will take his first managerial role in the EFL with the club he followed as a boy. With the issue now resolved, Scholes has now been cleared to take up the job at Boundary Park if it is offered.
Le convoyeur de fonds disparaît avec 3 millions
Le véhicule de transport de fonds a été retrouvé à Aubervilliers (Seine-Saint-Denis) mais vide, sans le conducteur. La Brigade de répression du banditisme de Paris a été saisie, sous la houlette du parquet de Bobigny.