The Prime Minister will speak to the Conference of Presidents rather than all MEPs at the European Parliament.
Mrs May told the European Parliament President Antonio Tajani she would be happy to talk to the Conference of Presidents and a date is now due to be set.
The Conference of Presidents is chaired by Mr Tajani and attended by leaders of all political groups.
In June Mrs May said she had been in discussions with Mr Tajani about the possibility of becoming the first UK prime minister to address the European Parliament since Gordon Brown in 2009.
Mrs May’s refusal to address MEPs as considered a major snub to Brussels but as talks get underway it appears the PM is ready to speak.
German MEP Elmar Brok told the Guardian: “The European Parliament remains ready to offer flexible solutions. Why make enemies? It’s ridiculous.”
The Conference of Presidents decided the EU would adopt a resolution in October focusing on the rights of EU citizens in the U.K. and U.K. citizens in the EU post Brexit.
Earlier this year Mrs May also refused to address the Irish parliament regarding their many Brexit concerns.
European Parliament’s Brexit coordinator, Guy Verhofstadt, urged Mrs May not to underestimate the importance of the Parliament.
He said: “I fear the UK government and others are taking it for granted that MEPs will fall into line and agree any withdrawal agreement, but this would be a mistake.”
According to politico, an EU official said: “Tajani told political leaders a couple of hours ago that May has accepted an invite — but it will be a closed session just with a few of them.”
The PM may not want to make the public address due to her dislike of media appearances and all proceedings are broadcast live on television.
The European Commission has released meeting minutes from July when the Commission President Jean-Cluade Juncker questioned Brexit Secretary’s David Davis’s suitability to lead the Brexit negotiating team.
This week the EU’s chief negotiator, Michel Barnier, said he had serious doubts that trade talks could commence in October, due to a failure to make “sufficient progress” on the divorce bill, citizens rights and the border in Ireland.