MPs had their first chance to scrutinise the EU withdrawal bill, which would formally end Britain's membership of the European Union and transfer four decades of EU legislation into United Kingdom law.
Parliament is involved in a lively debate as the Government seeks to enshrine the Brexit date into United Kingdom law.
One of the group, backbencher Heidi Allen, tweeted: "If fighting for the best possible future for our country and our government is considered mutiny - then bring it on".
But critics warn the European Union withdrawal bill - also known as the repeal bill - represents a power-grab by ministers, while others see the legislation as a chance to shape the prime minister's Brexit policy.
Backed by Plaid Cymru and the SNP, the first proposed amendment to the EU Withdrawal Bill would have forced Theresa May to win the consent of the UK's devolved administrations before repealing EU legislation.
The debate continues on Wednesday, with the key vote on the Brexit date amendment not expected until next month.
Grieve said there could be some room for compromise on most issues in the coming weeks but the efforts to find consensus were undermined by the government's "mad" amendment to ensure the European Union exit date is fixed at 11pm on 29 March.
Tory unrest dominated the first day of committee stage debate on the EU (Withdrawal) Bill on Tuesday as Conservative MPs expressed growing concerns about the Government's desire to include a formal Brexit date of 11pm on March 29, 2019.
After a heated Prime Ministers Questions session, Mrs May was asked by fellow Conservative to call for MPs to come together for the sake of Brexit. If I wanted to do that, I would not have supported Article 50.
MPs also debated a Labour amendment on Tuesday - one of nearly 200 pages tabled - to extend the jurisdiction of the European Court of Justice into a post-Brexit transition period.
The failure to achieve this majority means that May's problems, above all, are parliamentary.
Two ministers have quit in the past fortnight - one over sleaze allegations, the other accused of effectively running her own foreign policy.
A spokeswoman for May s office said the prime minister stressed that as powers were repatriated from Brussels back to Britain, a significant number would be passed down to the devolved administrations in Scotland, Wales and Northern Ireland.
Ms Sturgeon said: "We oppose Brexit but we understand withdrawal legislation is necessary, so we want to find agreement".
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