Merseyside Police tweeted: "Thanks to both sets of fans for respecting the occasion today. The vast majority behaved impeccably and did their clubs proud."
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It happened after yesterday's football game, which saw Barrow win 2-0 against York City.
Blustery showers and sunny spells on Sunday. Wet for all areas by Monday afternoon. Mixed forecast into the new week
Heavy rain Saturday night - fresher, brighter and more showery on Sunday