This happened to us recently. We were getting the same kind of junk mail and had our agent look up the owner’s info. He defaulted and almost 4 months later we found a notice of trustee sale posted on our door. I stopped paying rent to the owner on the 2nd month of the default notice prior to foreclosure just to see if he would respond to my numerous previous emails. He didn’t. The house went back to the bank and we received a 60 day evicition notice. You can try to get more time by contacting the agent for the foreclosure. They are more afraid that you will stay longer than the 60 days because then they have to start official eviction proceedings and take you court which could keep you in the house for up to 120 days. In most cases they won’t negotiate rent to keep you there. The bank wants the property vacant asap because they know they can sell it easier. PS, good luck trying to get any deposit back unless you take the previous owner to small claims.