Well, the bank can legally always reject your offer. But with the way things are now in the real estate market, it is not likely that they will, unless your offer is for 10 cents on the dollar or something. It is best to check the title and first, before your buy anything. You don't want to buy a buidling that is in housing court or that is about to be bull dozed. Just take your time with buying in this market! The ball is in your court!