Speaking to politico.eu after the Taoiseach's speech on the future of the EU in the European Parliament on Wednesday, Mr Wilson claimed there had been a change in tone from Dublin since Mr Varadkar replaced Enda Kenny past year.
"There is some hypocrisy by looking at how much money we really collect as corporate taxes on other countries that attract far less, but on paper their taxes are higher", said the Irish Prime Minister Leo Varadkar in speech to the European Parliament.
It comes just one day after Donald Tusk, president of the European Council, said he was open to a "change of heart" from the UK.
Juncker, who heads the EU's powerful executive arm, said Brexit was a "catastrophe" and a "lose-lose situation both for the British and members of the EU".
'In London there was a rather irritated response to this proposal [to stay in the EU], but note that even if the British leave according to Article 50, then Article 49 would allow them to accede agian - and I would be happy to facilitate that'. "We took the decision as a parliament that the British people should have their choice".
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Mr Wilkins told Wales Online: "She's very determined and clear-sighted in that way but I think it's fair to say [from] her time in office people might not necessarily recognise that".
And French president Emmanuel Macron joined in, saying that there was still time for the United Kingdom to reconsider Brexit.
As Prime Minister (Theresa) May has said, the British never felt at ease in the European Union and for 40 years they haven't been given the chance to feel more at ease. "We want to agree [with the EU] on a comprehensive free trade agreement, as well as on a partnership in the field of security".
But Juncker added for the first time in public that even once Britain had left, it could still change its mind and return to the bloc by invoking another treaty clause. "I would not want to push anyone into a corner", he said.