Albion are believed to be £1.5m in debt and have survived two winding-up orders in recent months.
A plan to sell Albion's naming rights for £50,000 a year was last month rejected by the Scottish FA.
Stirling have been up for sale since June, when owner and chairman Peter McKenzie announced plans to step down.
The stadium is owned by the council and managed by the local authority's arms-length sports development company Active Stirling.
Source: BBC Sport
Source: BBC Sport