"Over the next few weeks we will publish more details of our proposed future relationship with the European Union in a White Paper, and will bring the Trade and Customs Bills back to the House of Commons".
"Whichever way the vote ultimately goes, the idea that the Government is going to be endangered by this difference of view within the House of Commons which might lead to its defeat is complete nonsense".
Media reports in London said more than 22 Conservative peers voted against May's government in what will be seen as a massive blow for May and her government.
May's spokesman said Tuesday the government could not accept the proposal, which "would undermine our ability in the negotiations to get the best deal for the country".
But worldwide trade secretary Liam Fox said nothing had really changed and the option of a no-deal Brexit had been left firmly on the table.
Brexit is the prospective withdrawal of the United Kingdom from the EU.
The government last week agreed to an amendment stating that if there is no deal by January 21 next year, ministers must put a statement to a vote in parliament.
He rejected some of the claims made about the consequences of a Government defeat which would give Parliament a greater role in the event of a failure to agree a Brexit deal.
Victims of abuse have laid some of the blame at Britain's rightwing newspapers, which have dubbed anyone challenging the Brexit process "Enemies of the People" or "Mutineers".
Sterling rose slightly against the dollar after Grieve backed away from a confrontation over May's proposal for the role of parliament if she fails to negotiate an exit agreement with the European Union or if lawmakers reject any deal she returns with from Brussels.
"And I think nothing would hurt our democracy more than to give the people the choice and then not to trust their judgment when they give it".
Grieve said the government had acknowledged "the sovereignty of this place (Parliament) over the executive".
It also notes there is a parliamentary convention that time is made available to debate motions tabled by MPs on important issues.
She insisted she had been listening to the concerns of critics but said the legislation must not restrict her freedom in talks with Brussels.
The concession was enough to get Conservative lawmaker Dominic Grieve, a leader of the pro-EU rebel faction, to back down and say he would support the government.
The government has condemned the threats or intimidation, but many of its supporters in parliament use inflammatory language, accusing rebels of trying to "sabotage" Brexit.
Mr Rees-Mogg said he did not believe the Speaker would take a "cavalier and high-handed approach" by disregarding the principle in standing orders that neutral motions are unamendable.