The talks will focus on Brexit, with the upcoming Northern Irish elections also expected to be on the agenda
Enda Kenny will meet with Theresa May in Dublin today for talks on Brexit.
It is Mrs May's first trip to Ireland since becoming British Prime Minister last July following the resignation of her predecessor David Cameron.
The Taoiseach has already met with Mrs May in Downing Street - but this will be their first meeting since the Conservative leader outlined her plans for a 'hard Brexit'.
Prime Minister May will only be on Irish soil for about two hours in total, but a major security operation has swung into action.
Government Buildings and the streets around it will be on lockdown during the visit.
The two leaders are expected to discuss how to maintain the common travel area and 'soft border' between the North and South of Ireland.
However, the discussions will be informal as negotiations are not allowed to begin until Article 50 is triggered in the UK.
Mrs May and Mr Kenny have already spoken by phone over the upcoming Northern Irish Assembly elections, and the issue is expected to be on the agenda today.
Both the Taoiseach and Prime Minister have been under pressure over the weekend to respond to US President Donald Trump's controversial temporary ban on immigration from seven predominantly Muslim countries.
Both leaders are expected to be asked about that issue when they face the media this evening.
Last week, Mrs May became the first world leader to meet the new US President in Washington.
Ahead of today's Dublin meeting, Mrs May is in Cardiff for discussions with leaders of the devolved administrations - Wales, Scotland and Northern Ireland - over Brexit.
The UK Supreme Court last week ruled that UK ministers are not legally compelled to consult the devolved legislatures before triggering Article 50.