Seeking Advice on Foreclosure Offer to REO

[Patrick M.]

I've found what I think is a good unit- a foreclosure where:

1. Prior owner has been evicted and unit has been re-keyed.
2. Interior is in good shape and with a thorough cleaning, is more or less in move-in condition. (I will still do a full inspection with a licensed inspector)

3. Property is owned by a bank. 

4. Realtor showing it says there are no liens, though clearly I would check via Title Search.

Building is from 1970s era, but is maintained reasonably well from exterior walkabout. Rent would be $625/month with water included for 1 BR/1 BA.

The listing is online for about $80k. That said, none of the units in the building have sold for more than 72K since the financial crisis hit. The last market sale for a unit was $60k. 

My instinct is to offer $50k - $60k and ask for money towards closing costs. Is this going to be attractive to a REO or will they reject it? Would they counter offer, or do they just want to unload? I have a 790+ credit score and financing pre-approved.