Published Thursday, 17 October 2013
Mr Stevenson and County Grand Master George Chittick at the Twaddell camp. (© Presseye)
Dr Haass is the independent chair of all-party talks on flags, parades and other unresolved issues remaining in the region.
Ahead of the former US diplomat's return to Northern Ireland, Grand Master Edward Stevenson has encouraged Dr Haass and his vice-chair Megan O'Sullivan, to engage with Order members at the loyalist protest camp at Twaddell Avenue in north Belfast and at Drumcree in Portadown.
The senior Orangeman said it was essential that he hear the concerns of Order members who are "continuing to be denied their civil and religious liberties".
"In both locations, brethren have shown willingness and initiative in their desire to resolve the impasse concerning their respective traditional parades," he said.
"However, due to the actions of a vindictive Parades Commission; a lack of republican tolerance and the consistent denial of shared space, their legitimate right to express their culture and heritage have been unjustly curtailed."
The north Belfast camp was set up as part of ongoing demonstrations in response to a Parades Commission restriction on a Twelfth parade passing the Ardoyne shop fronts.
The Order's annual Drumcree parade in Portadown has been banned from making a return route through the nationalist Garvaghy Road since 1998.
"As the three Ligoniel lodges approach 100 days of peaceful protest and Portadown District maintain their longstanding weekly presence at Drumcree, it is imperative the Haass initiative aids a fair and equitable resolution to these matters," Mr Stevenson commented.
Dr Haass was in Downing Street on Thursday to hold private meetings with Prime Minister David Cameron and deputy Prime Minister Nick Clegg.
A spokesperson said he met with the Cabinet Office and Prime Minister's office to discuss Northern Ireland matters.
In September, he spent a week hosting 30 engagements with politicians, members of clergy, the Orange Order and business leaders. This was concluded with a round-table gathering with representatives from the five main parties.
Dr Haass was asked to chair the talks following a difficult year of street violence and ongoing protests and demonstrations linked to disputes over flags and parades.
Mr Stevenson led a delegation of senior Orange men who took part in the talks and submitted their concerns on parading. They are also to make a separate submission on flags and the past.
Mr Stevenson also put forward an invitation to Londonderry following this year's peaceful flagship Twelfth parades.
He added: "It is extremely regrettable the same level of toleration and mutual respect cannot be replicated in Portadown and north Belfast."
© UTV News