Leavers' angry tirades against the vote were countered by passionate Remainers, such as Keir Starmer, the shadow Brexit secretary, who called the vote "a hugely significant moment in the fight to ensure parliament has a proper role in the Brexit negotiations and that we avoid a no-deal situation".
"We have always been clear that the vote must be truly meaningful".
- What does it mean for the Prime Minister's exit strategy? It's made a decision to take up the banner of "peers against the people".
The brewing row over immigration controls comes as Mrs May faces a fresh threat to her Brexit plans in the House of Lords this week. "They don't think about it a lot of the time, but when it opposes the democratically-elected government and tries to stop legislation as a House of appointed people - many of them getting pensions from the European Union - it does its own reputation a huge amount of damage".
On Monday the EU's chief negotiator Michel Barnier again warned that there will be no withdrawal agreement without the backstop.
"Therefore his proposal of us being in an all-Ireland regulatory scenario with a border down the Irish Sea simply does not work".
Britain's Prime Minister Theresa May visits the Oxley Group in Ulverston Thomson Reuters LONDON (Reuters) - Prime Minister Theresa May and her senior ministers agreed on Tuesday they were disappointed by decisions taken in the upper house of parliament that could block or delay Brexit, May's spokesman said, adding the government will respond robustly.
Internal Tory splits on the issue were exposed last week when Ms Rudd hinted that the issue of staying in the custom s union was still being debated in Cabinet.
He said it could be used "to overthrow the referendum result through a fundamental change in the balance of our constitution, one which would be unprecedented and unworkable".
On a visit to the border region, European Union negotiator Michel Barnier said "we need to agree rapidly by June on the scope of all-island customs and regulations, the safety and controls that we need to respect the single market".
He declined to comment directly on whether the government would try to overturn the amendment which, if passed by the lower house, would allow parliament to send ministers back to the negotiating table in Brussels or halt the Brexit process.