Welcome to the board WuTan! Unless you accept the counter-offer there is no way of re-bidding for the same zone and star rating. You need to either lower your star rating or add an extra zone. However, there may be zones in which a 5* hotel is not offered, so in a sense you are getting a free re-bid on the hotel that you want. As an example...I notice that the Bloomsbury - Marble Arch zone does not currently offer the option to bid on a 5* hotel I highly recommend you read this thread Bidding again before 24hours to get an understanding of how the re-bidding process works. You should really understand how PRICELINE works before we go ahead and suggest a strategy to get that hotel. Please post back with any questions you have and we'll help you out. Also, please include the dates of your stay and your maximum budget.