Try Gumption Paste - its my best friend in the cleaning department, you can get it from your local supermarket. Removes most stains from hard surfaces including laminates, plastics, and will even remove permanent marker from kids toys.... and your toys lol... good luck!
I either throw my in the top rack of my dishwasher, or lay a paper towel down on them that is either soaked in bleach or splash the bleach on it (carefully) before you got to bed. Sparkly clean mats in the morning!
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