The Taoiseach and British Prime Minister are to speak next week.
The discussion, over the phone, will take place ahead of a G7 summit of world leaders in France.
A face-to-face meeting between the pair is still in the process of being arranged, with a date expected sometime in September.
It comes as some UK MPs continue attempts to block the possibility of a 'No Deal' Brexit, with a unity government the latest idea being put forward.
Former Political Editor of The Times, Philip Webster, says if Boris Johnson is defeated in a vote of confidence, there is a 14 day period in which someone else has a chance to form a unity government.
In that scenario, the Liberal Democrat leader, Jo Swinson has suggested Conservative former chancellor Ken Clarke, or ex-Labour deputy leader Harriet Harman, as "respected" long-serving MPs who could instead lead an emergency government.
Jeremy Corbyn has said he hopes the Lib Dems will reverse their opposition to his plan to stop a no-deal Brexit, declaring it is "not up to Jo Swinson to decide who the next prime minister is going to be".
The Labour leader said he was "disappointed" by Ms. Swinson's dismissal of his idea to become caretaker prime minister to block such a scenario from happening.
