Workers protested outside the City Chambers at council plans to privatise its Information and Communication Technology department.
Dozens of the workers took to George Square to make their views known about the proposal to transfer services and staff to Canadian firm CGI.
More than 350 workers are affected by the plans and many handed back their long service awards in protest, ceremonially dumping them in bins.
They descended on the City Chambers for a rally and to lobby Labour group councillors before they make a final decision on the issue.
Unison, which represents many of the staff argue that the switch will lead to higher costs in the long term, a loss of council control over a key council function and warned it posed a threat to members’ jobs.
Unison, Branch Secretary, Brain Smith argued that the way to ensure quality services to have them remain under the democratic control of the council.
Mr Smith said public money should not be used to increase the profits of global private companies.
The council has said no final decision has been taken and denied there was any threat to jobs from the proposals.
A spokesman said: “We are in the early stages of the council’s ICT procurement process and no decision has been made.”
Under the plan if accepted, the council would hand over all its IT services to GCI, including schools, social work and payroll.
The Canadian firm already has a deal with Edinburgh City Council to provide its IT services.