The trial was run in the canteen of the council-run Cityclean depot at Hollingdean.
Although the Green Party included Meat Free Mondays in its pre-election manifesto, Alan Stone of Brighton and Hove Council told the MTJ that there wasn't a timescale for launching the scheme across the council's offices.
He said: "If and when the council decides to do a Meat Free Monday promotion there will be an official launch following consultation with staff.
"It remains an ambition for the administration as part of promoting healthy and varied diets for staff."
The scheme was inspired by the Meat Free Monday campaign launched by Paul, Stella and Mary McCartney in 2009. It claims that not eating meat for one day a week can help people live healthier lives and reduce the environmental impact of meat-production.