It says Brexit must not diminish any form of North-South co-operation or create or facilitate Border arrangements featuring any new infrastructure, checks or controls without an agreement between London and Dublin.
They include an amendment urging the Government to agree a customs union with the EU, and another calling for parliament to be given a role in the Brexit negotiations if MPs reject the final withdrawal agreement.
"I find this remark appalling given that to us and the Indian diaspora around the world, it is a matter of enormous pride to have Leo Varadkar as one of the first Indian origin Prime Ministers in the European Union", said Lord Karan Bilimoria, a crossbench peer and founder of Cobra Beer.
The much-lauded Common Travel Area is a fallacy as those travelling to and from Northern Ireland from Great Britain by air and sea have always been stopped and searched for the last fifty years.
He said: "This is, because of the Good Friday agreement, everyone has got themselves into a bit of a state".
Trump addresses "shithole countries" comment while speaking alongside Nigerian president
President Donald Trump is urging Nigeria to take down trade barriers to allow additional US investment in the African nation. Buhari said the US and Nigerian delegations discussed security, trade, government and human rights, among other topics.
Recalling the years of violence which had left thousands of dead and many others maimed during the Troubles, he said: "We can not possibly want to risk going back to that".
"I don't want to go back to the old humiliations, the old animosities, the old feuds".
Lord Patten said it would be "shameful and dishonourable" and a "stain on our history" if the Lords did anything to make that more likely. "I just want to be a good neighbour and I received a very warm welcome in Northern Ireland", Varadkar had said. Varadkar had a "dismal lack of knowledge" about the happenings in Northern Ireland, Lord Kilclooney told the publication.
Baroness Smith, Labour's leader in the Lords and a former Northern Ireland minister, told HuffPost: "This is shocking".
Lord Eames, who is the former Archbishop of Armagh and Primate of All Ireland, warned ministers that the border issue was "extremely dangerous". And we will have left. "The peace process is still an infant growing".
Chair of the Committee Dr Andrew Murrison MP said he was repeating an invitation first made in March, and that "to date, we have not seen a worked up, coherent proposals that would allow the United Kingdom to be freed from the structures of the Customs Union and Single Market and avoid additional infrastructure at the border".