The European Parliament is expected to issue a full response to Boris Johnson's new Brexit offer later, after he urged Brussels to "compromise."
The British Prime Minister wants to get rid of the backstop - which aims to prevent a hard border.
The DUP's welcomed the plans, but the UK's Labour party says they won't support them.
The EU's chief negotiator Michel Barnier insists Brussels wants to find an agreement.
Leo Varadkar spoke with Boris Johnson by phone last night to discuss the final British proposals for a Brexit deal.
The Taoiseach says the last-ditch pitch doesn't meet the agreed objectives of the backstop agreement.
Lisa Chambers, Fianna Fáil's Brexit spokesperson, says the plans published yesterday fall short of what people have been promised.