Published Friday, 15 July 2011
On Thursday the Sinn Féin Deputy First Minister said he was "willing" to meet with Orangemen following discussions with DUP leader and First Minister Peter Robinson.
The Stormont talks took place after violence erupted across Northern Ireland over the Twelfth of July period.
"The current policy of the Grand Lodge of Ireland is not to meet with Sinn Féin ", an Orange Order spokesperson told UTV.
Mr McGuinness had suggested meeting with Orangemen, alongside Mr Robinson, in their capacity as First and Deputy First Ministers but the offer was rejected.
"If the Orange Order find it difficult at this stage to meet officially with Sinn Féin as a political party, I don't see any reason why they could not meet with Peter Robinson and myself as First and Deputy First Minister", he said at a press conference on Thursday.
Rioters behind three nights of serious violence have been slammed for damaging Northern Ireland's reputation around the world.
Both Mr McGuinness and Mr Robinson have spoken out about the negative impact of images beamed across the globe - in the wake of disorder in east Belfast at the end of June, in Ballyclare last weekend, and the most recent widespread trouble over the Twelfth.
A total of 38 police officers were injured as they tried to contain the disorder, while over 100 baton rounds were fired in Belfast on 11 and 12 July.