The incident occurred at Eke-Otu in Amechi Awkunanaw, Enugu South Local Government Area, Prime9jaOnline gathered.
The thugs assassinated the driver of one of the convoy's buses.
His body, according to reports, was burnt with the vehicle.
It will be recalled that some gunmen had also attacked and killed the Labour Party senatorial candidate for Enugu East senatorial district, Mr Oyibo Chukwu, with five of his supporters in Amechi on Wednesday evening.
All efforts to speak with the State Police Public Relations Officer, DSP Daniel Ndukwe, proved abortive as he could not be reached on telephone as at the time of filing this report.