From Longman Dictionary of Contemporary Englishgrudge fight/matchgrudge fight/matchDSa fight or sports competition between two people who dislike each other a lot → grudge
Examples from the Corpus
grudge fight/match• Six other players were sin-binned as Britain beat New Zealand 3-2 in a grudge match.• None of the combatants in this grunge grudge match are over 20. 