Also high on the agenda was the situation in the Democratic Republic of Congo where a rebel force is destabilising the eastern parts of the mineral rich country.
The meeting was attended by Tanzanian President, Jakaya Kikwete, chair of the Troika and Mozambican President Armando Guebuza, who is chairman of SADC.
Other leaders who were expected to attend the meeting included South African President Jacob Zuma, President Hifikepunye Pohamba of Namibia, who is the vice chairperson of the Troika and President Joseph Kabila of the DRC.
This is the first meeting of the Troika since the SADC summit held in Mozambique last month.
Political parties in Zimbabwe have failed to agree on the draft constitution, which was expected to pave the way to the holding of a free and fair election.
But Zanu (PF) and the two MDC parties have disagreed on the contents of the draft.
President Robert Mugabe has made amendments to the draft document, which the MDC parties have refused to endorse, leading to fallout that now threatens the process.
The troika is hoping to find a solution to the problems in the DRC.
Sadc chair, Guebuza met Rwandan president, Paul Kagame in Kigali to discuss the crisis.
Rwanda is accused of sponsoring the rebels in the eastern DRC.