John Smith Halls in Tollcross was put on the market this week by agent Knight Frank.
Its owner, Kilmartin Property Group, recently fell under the control of receivers PricewaterhouseCoopers.
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Hide AdA retail park in Inverness and offices in Glasgow are among the firm's other assets.
Graham Frost, joint receiver and business recovery services director at PricewaterhouseCoopers in Scotland, said: "Not surprisingly, there has been a great deal of interest in the properties owned by Kilmartin and Annfield."