Cameron, was also quick to warn the group that those who did not lay down arms are at the risk of being killed.
He said, "I've seen it in my own country, in Northern Ireland, where people who were involved in trying to kill, maim, and bomb civilians, police officers, army personnel, and even politicians, have actually become politicians themselves."
The British Prime Minister was speaking alongside Hamid Karzai, the President of Afghanistan in Kabul.
Referring to the insurgents who are at war with NATO forces, he said, "You are losing this fight. You are seeing your fellow Taliban members being killed in ever larger numbers, this will only continue. So you should give that up and join a political process."
Britain, has for long advocated the need for holding talks with Taliban, in order to ensure lasting peace in Afghanistan. In Jun 2011, Last month, William Hague, the British Foreign Secretary had informed that Britain was in contact with the Taliban to broker a political solution to the war.