The Greens said they have run a positive campaign based on hope and local issues.
The party is on the verge of a breakthrough, and could win its first constituency seat in Glasgow.
The result is close in two city seats Southside and Maryhill and Springburn in a race with the SNP.
Greens at the count have been buoyant and hopeful of success.
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Holly Bruce, Candidate in Southside, said: “What we’ve been saying in Glasgow Southside is that we want to see a Green elected there that is a really local representative, that is boots on the ground and who is connected within the community.
“I’ve been building that for the past four years as a councillor and that’s really resonating with people on the doors, in those community groups and on the streets and I think that’s why people will be voting Green this election and they trust the Greens, that we are honest, we have integrity and that we will do right by them.”
Iris Duane, Green candidate in Kelvin and Maryhill, said: “We have had a lot to do with housing and a lot to do with the cost of living. We absolutely need to start building more houses.
“People have been absolutely scunnered by a housing system that is leaving them behind.
We’ve got damp houses, we’ve got overcrowded houses and people cannot afford to rent.”
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