Pressure group The Ministry for Peace wants to see a cabinet-level post devoted to reducing violence in the UK and internationally.
The group's website states: ‘The real struggle of the 21st century will not be between civilizations, nor between religions. It will be the struggle between violence and non-violence. Help non-violence win.'
It is understood that Lexington helped the organisation to bring about an All-Party Parliamentary Group on Conflict Issues last month.
The agency, which is headed by founding partners Mike Craven and Ian Kennedy, confirmed that it had recently been working with The Ministry for Peace.
Ministry for Peace spokeswoman Diana Basterfield was unavailable for comment.