The Taoiseach says it's the British government that needs to change its approach to Brexit talks.
It comes as Theresa May called on the EU to give ground ahead of a crucial vote next week.
On Tuesday, British MPs will vote again on Mrs May's EU withdrawal agreement.
However, Mrs May's government has been working to secure changes to the Irish backstop - the 'insurance policy' to avoid a hard border in Ireland.
The EU has repeatedly ruled out reopening the withdrawal agreement, but says they're happy to offer further 'assurances' to the UK.
Eariler this week, the EU said no solution has been found to date to address the backstop impasse - adding that discussions have been 'difficult'.
"Brexit is a problem of their creation"
Speaking today, Leo Varadkar said it's time for compromises to come from the UK side.
He argued: "What's not evident is what the UK government is offering the European Union and Ireland should they wish us to make any further compromises.
"We've received no offer from them as to what they would give us in return for any changes.
"It requires a change of approach from the UK government, to understand that Brexit is a problem of their creation."
Theresa May, in contrast, urged the EU to help get the deal over the line with one 'final push'.
During a speech in Grimsby, she said: "Just as MPs will face a big choice next week, the EU has to make a choice too.
"We are both participants in this process. It is in the European interest for the UK to leave with a deal.
"We are working with them, but the decisions that the EU makes over the next few days will have a big impact on the outcome of the vote."
She suggested that MPs rejecting the deal would result in a "moment of crisis".
Mrs May claimed: "No-one knows what will happen - we may not leave the EU for many months; we may leave without the protections that the deal provides; we may never leave at all.
"The only certainty would be ongoing uncertainty - months more spent arguing about Brexit."
'Very, very clear ask'
Earlier today, British foreign secretary Jeremy Hunt claimed it's "entirely possible" to reach a new agreement in the coming days.
Speaking on BBC Radio 4, the UK foreign secretary said: "This is a moment of change in our relationship between the UK and the EU, and history will blame both sides very badly if we get this wrong.
"We want to remain the best of friends with the EU - that means getting this agreement through in a way that doesn't inject poison into our relations for many years to come."
He added: "We now have a very, very clear ask. We know what it would take to get a deal through the House of Commons - a significant change that would allow the attorney general to change his advice to the government.
"We have made some progress in the last few days - there's a bit more to make. It's entirely possible to get there.
"Frankly, I think if this ends in acrimony, people will say that the EU got this moment wrong - and I really hope they don't."
If the Brexit deal is rejected again next week, MPs will be asked whether they support leaving the EU without a deal.
If that's also voted down, politicians will vote on a possible short delay to Brexit to allow for further negotiations with the EU.