How far below ₩828m would you open on this Seoul student property?

If they counter quickly, don’t immediately split the difference. Compare the counter with your ceiling and ask whether any new information justifies moving. Price movement should ideally buy better terms, resolved repair responsibility or the completion flexibility the seller actually values.
 
One practical issue from the occupancy question: determine whether inspection and updating access are realistically available on your timetable. Even a sensible purchase price can become unattractive if you cannot assess the rooms properly or complete essential work when expected.
 
I agree with Lara that nearby listings should define only the competition, not value. If those properties are also sitting unsold, their asking prices offer little support for ₩828,000,000. Focus your explanation on the few defensible differences rather than attaching a large spreadsheet of uncertain comparisons.
 
Another thought on the deadline: tie it to your financing and planning needs, not as punishment for the 54 days on market. If the seller requests a modest extension and nothing else changes, granting it may preserve goodwill without weakening your price.
 
My final package would be a concise offer at the chosen figure, evidence that financing is credible, flexible completion options, and narrowly written protections for inspection, financing and verification of use and occupancy. Before signing, get local guidance on the deposit and appraisal wording. That is firm without being hostile.
 
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