However, "sources say the controversial trip ... will not now go ahead", according to the Independent, adding that Trump's "entire European itinerary is now under review".
That offer was reiterated by Mr Varadkar last March.
"We can confirm that the proposed visit of the U.S. president is postponed".
The Trump administration announced last month that the president would continue on to Ireland following the November 11 ceremonies, to "renew the deep and historic ties" between the two countries. "As details are confirmed we will let you know".
US President Donald Trump has cancelled his planned trip to Ireland.
He last visited Doonbeg in May 2014 and was due to visit again a few months before the USA presidential election, in the summer of 2016, but later shelved the plan.
Mr Trump is due to travel to Paris on 11 November for commemorations marking the 100th anniversary of the armistice that ended World War One.
It's not clear why the visit has been cancelled, although it is believed the decision was made in the US. "These policies do not reflect the Irish people's values ― we need to show him and the world that this is not normal". The Labour Party, Green Party and Solidarity-People Before Profit pledged to organise protests surrounding the visit. "No one seems to be the wiser in the government as to what is going on", Mr Martin said.
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And he pointed to the lack of a USA ambassador to Ireland for two years when he said: "I think it's time to try and get this relationship sorted".
"The relationship between Ireland and the U.S.is so strong and so important, much more important than any Irish government or any USA administration", he told Irish broadcaster RTE.
Mr Martin said it showed the need for some indication of when a United States ambassador would be appointed as in the past they had been a "key conduit" with American Presidents.
Asked if he had ever seen such haphazard organisations for a visit by a US President Mr Martin, a former foreign affairs minister said: "No I haven't I have never seen anything like this before".
Trump had planned a trip to his resort in Doonbeg as well as meeting Taoiseach Leo Varadkar and President Michael D. Higgins.
"This is reflective of a relationship that is now not functioning, that needs to get sorted and needs structures in place".
He said: "It will be controversial because everything Donald Trump does these days is controversial".