"Local rivalry" refers to a competition or conflict between two or more groups or individuals who are from the same area or community, and it often involves a rivalry or intense competition between them. Full definition
Still lot of fans wanted Chelsea or Spurs because of local rivalry, but we don't really turn up in big games. (justarsenal.com)
SEE MORE: Everton v Liverpool: Five Key Battles Of The Merseyside Derby Including Martin Skrtel Against Romelu Lukaku Ranking The Ten Most Competitive Local Rivalries In English Football Ahead Of North London & Merseyside Clashes Arsenal v Tottenham: Five Key Battles Of North London Derby Including Harry Kane v Laurent Koscielny (caughtoffside.com)
The Reds approached time while he was still at Wigan, and it wouldn't be that surprising if they considered him, even if it would be a move the Everton fans would never forgive or forget due to the two clubs» fierce local rivalry. (caughtoffside.com)