The parties have been negotiating on which party controls which ministries.
Their talks reached a deadlock last Friday after four days of negotiations mediated by former South African president Thabo Mbeki.
The discussions stalled on the allocation of the Ministry of Home Affairs, which controls the police, according to Zimbabwe's state-owned The Herald newspaper.
Mugabe arrived in Swaziland Sunday evening, to be joined by the presidents of Swaziland, Angola and Mozambique, members of the security committee of the SADC.
Zimbabwe's political impasse came after the elections in March, in which the combined opposition won a majority of seats in parliament and Tsvangirai won a narrowly leading number of votes in the first round of presidential election but not enough to avoid a run-off.
Mugabe won the presidential run-off held on June 27 as sole candidate. But Tsvangirai, who boycotted the run-off citing political violence, refused to acknowledge Mugabe's victory.
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Supporters of Zimbabwe's opposition party Movement For Democratic Change (MDC) chant party slogans at a rally in Masvingo, some 300 km (186 miles) south-east of of the capital Harare, October 19, 2008. [Xinhua/Reuters]
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(Xinhua News Agency October 21, 2008)
