Hi Sam, If there are multiple offers on a house, the listing agent will generally ask for all buyers to submit a new "Highest and Best" offer. It is at this time that you need to determine how much you really want the house, and how much you are willing to pay for it. Be sure that you ask your Realtor to take the time to research comps with you, so that you are confidant and comfortable with your final offer. Don't be afraid to offer what the house is worth if you love it, but also don't be afraid to stand firm if you feel your offer is strong. You can also make your offer more attractive by offering cash, negotiating appliances/ repairs, being flexible with a closing date, etc. This may help the seller chose your contract over another, more restrictive offer. Hope this helps and I wish you luck!