PF Secretary General Davies Mwila says the party is engaging the Zambia Police over the beating of its members by some officers during voting in Sesheke constituency.
Mr Mwila says the move is aimed at finding a lasting solution to the matter.
And Mr Mwila has told ZNBC that the PF wants to be exemplary in the Bahati constituency parliamentary by-election.
He has since urged the UPND to ensure that its members do not resort to political violence.
And UPND Secretary General Steven Katuka said his party is calling for national dialogue aimed at finding a lasting solution to political violence.
Mr Katuka said the UPND wants an end to the violence that happened in the just- ended Sesheke by elections.
Meanwhile, PF Deputy Secretary General Mumbi Phiri is disappointed that civil society organisations have remained quiet over the brutal beatings of PF youths by police in Sesheke.