Games finishing 0-0 are quite rare. However, some bookmakers give refunds on certain bets if the game finishes 0-0. Its not a very good offer in my opinion but is useful for when teams struggle to score and you can tell its going to be a 1-0 either way. You can back each team to win 1-0 and then get your money back or at least part of it back if it ends up 0-0.
Refund all Correct Score, Half-Time/Full-Time or Scorecast bets if the game finishes 0-0. This is a cash refund which you can withdraw if you want.
William Hill offer up to £50 back on correct score and half time/ full time results if the game finishes 0-0. They refund is in terms of a free bet rather than cash. Also there is a clause in the terms that says that if you place multiple bets on the same game, only the first bet will count. For example, if you dutched 1-0 and 2-0, and it ended up 0-0, you'd only get a refund on one bet.
138.com offer moneyback as a free bet if a game in any of these leagues – English Premier League, English Championship, Serie A, La Liga, Bundesliga, Champions League, Europa League and all Euro 2016 Championship Qualifiers, finishes 0-0. However, you must contact our 24/7 Customer Service Team to claim this offer. Offer applies to Exact Score and Half Time/Full Time bets only which is a bit strange. Usually, they include scorecasts and first goal scorers too.
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E&OE, while the accuracy of the offers were correct at the time of writing, things change regularly. Please check offers are still valid before relying on them.