Prime Minister Theresa May will set out an offering position on the rights of Europeans living in Britain after Brexit at an EU summit this week, minister David Davis said Monday.

"The PM will later this week update European leaders on the UK's approach to this issue during the European Council" summit on Thursday, Davis told a joint press conference with EU Brexit negotiator Michel Barnier.

"We will then publish a detailed paper outlining our offer on Monday which I believe will form the right basis on which to reach agreement," the British Brexit negotiator added.