"That was in contrast with the more constructive and positive approach adopted by the recently appointed Housing Secretary, James Brokenshire, who I was pleased to meet last month".
Unhappily for May, his most effusive praise was reserved for the outgoing foreign secretary.
Aldridge-Brownhills MP Wendy Morton said: "The Prime Minister is showing the same level of resilience that she always does".
It remained unclear whether Tory Brexiteers can muster the 48 signatures they need to trigger a no confidence vote in Mrs May.
"What the prime minister is proposing is a way in which we can ensure we don't have ... friction with our trade with the European Union ... and here is a practical way in which we can do that", Gauke said.
Mrs May claimed Labour would "never deliver" a strong economy, adding the Opposition's policies would lead to a "run on the pound, capital flight and the loss of jobs for working people up and down this country".
The Prime Minister said she did not say "nothing has changed", but rather that the position had "evolved".
The UK is due to leave the European Union on 29 March 2019, but the two sides have yet to agree how trade will work between the UK and the EU after that.
South Africa's Van Rooyen leads Irish Open by 4
Rory McIlroy bemoans a number of missed putts in the first round of the Irish Open at Ballyliffin on Thursday. Sharing second place are New Zealand's Ryan Fox and Sweden's Joakim Lagergren .
Could British Prime Minister Theresa May face a challenge to her leadership of the Conservative Party.
Pro-Europeans want to retain close economic ties with the bloc and its market of 500 million people, while some Brexit supporters want a clean break to make it possible to strike new trade deals around the world.
The resignations came just days after May announced Friday that she had finally united her quarrelsome government behind a plan for a divorce deal with the EU.
But he warned he felt "very strongly about the future of my country" and said Tories had "real concerns" about the direction of Brexit. Mr Rees-Mogg refused to support her and said that "she would be well advised to revisit her Brexit policy".
Speaking at a North Atlantic Treaty Organisation summit in Brussels, Mrs May repeated her assertion that the Chequers agreement delivered on her Brexit red lines - leaving the EU's single market and customs union.
Securing a U.S. -UK deal post-Brexit is something both Trump and May's government have heralded as being a major benefit of leaving the EU.
May's personal authority was badly damaged after she called a snap election previous year to strengthen her hand in Brexit talks but instead she lost her parliamentary majority, meaning she has to rely on a small Northern Irish party to govern.
Tánaiste Simon Coveney has said it has been a good week for the Brexit process despite the resignations that followed the publication of Theresa May's Chequers proposals.