Twenty buses were set alight and roads blocked as protests around the Tshwane region turned ugly on Monday night.
Nzimande has tried to set up meetings with Zuma, but Number One neither answers his calls nor returns them.
Utterances by the communist party belie the claim that all is well in the alliance.
KwaZulu-Natal SACP chairperson James Nxumalo has gone against the grain and accepted the president's apology for his role in the Nkandla debacle.
The campaign for the president to go sends a message that no one is above the Constitution.
On Thursday the Pretoria High Court dismissed the application for leave to appeal the release of Chris Hani's killer, Janusz Walus.
Rifts are showing in the ruling party after revelations that the Gupta family offered various ANC members positions in the South African Cabinet.
Senior South African Communist Party leaders have been saying behind the scenes that it is time for the president to be recalled.
The "premier league" has been blamed for a move to bar Cosatu and the SACP from giving solidarity messages ahead of the ANC's 104th birthday.
By 1954, Sarah had been banned from all the organisations she was associated with and restricted from attending public gatherings for two years.
The latest spat is just another internal ANC struggle for power, and it will contribute only to greater ideological confusion.
An ANC faction accused the SACP of using Zuma as a Trojan horse at Polokwane. Will the communists survive the onslaught ahead of the 2017 conference?
While the SACP may contest elections in the future, its focus was now on electoral support for the ANC, said general secretary Blade Nzimande.
The third special national congress of the South African Communist Party (SACP) saw some classic rethoric.
Deputy President Cyril Ramaphosa says independent judges need to be respected and that the ANC welcomes the meeting with Chief Justice Mogoeng.
The communist party leader is seen by some as a saviour and by others as a demon.
SACP general secretary Blade Nzimande says SA is no longer a colony and applauded the government for not arresting Omar al-Bashir.
The tripartite alliance says it wants to address all "irritations" that are causing internal divisions at their five day summit.
The SACP, regretful it created a cult around Zuma, is heading for a tripartite alliance meeting divided over what position to take.