They challenged being forced out of their Barmulloch homes by housing charity Y People and have been given until December when a second hearing will be held.
Campaigners at the Glasgow Sheriff Court hearing on the eviction vowed a "great legal battle" was ahead.
The Glasgow Campaign to Welcome Refugees was at the hearing brought by Y People – formerly YMCA – to evict remaining tenants bidding for refugee status.
While a number of the undefended cases went through unchallenged, eight of the cases were defended and the case for eviction challenged.
Y People this year sent eviction notices to more than 100 tenants of the Red Road flats.
Jock Morris, of GCtWR, said of the move: "The longer and more significant outcome could be to develop test cases to challenge the legality of the use of absolute destitution as an arm of government policy.
"Some cases were defended by an advocate - an indication of how seriously it is intended to pursue these cases."
Earlier this year it was announced that Y People had lost the bid to house asylum seekers to security firm Serco.
A transition handover period ends next month and Serco has said it has no obligation to house failed asylum seekers.