Never reject an offer outright. A low offer can be insulting, but the reality is that some people still think we are in a 2009 real estate market. These buyers may also be price-buyers, but they ARE buyers and they are making an offer. A good realtor will always advise to begin negotiations. Your home remains on the market and you do not lose anything by negotiating. More often than not, an agreement can be reached with a low ball offer.