Last week, Afghan President Hamid Karzai agreed under pressure to a US proposal to let the militants establish an office outside Afghanistan.
The Afghan president strongly rejected the idea previously, saying that he was not consulted with over the potential venue of a Taliban office.
In December, the Afghan government recalled its Ambassador to Qatar Khalid Ahmad Zakaria to protest at Doha for "secretly negotiating" with the US and Germany over the opening of a Taliban office in Qatar.
The deal comes after ten years of the US-led war on Afghanistan, which was initially said to be aimed at toppling the Taliban regime.
The 2001 US-led invasion of Afghanistan has claimed numerous civilian lives and destroyed the country's infrastructure.