Will banks counter offer?

[Kevin McDonald]

getting ready to buy my 3rd rental property.  bidding on ones that have been on market for over 100 days.  The last one I bid 11% of asking price and my bid was accepted.  In the past low ball offers have not been accepted in my area the banks just lower the price every month or two by 10%.  Will banks counter offer on low ball bids?  I was going to try to offer 20% down and see what happens.  

Thanks 

Kevin