Mix water, hibiscus petals, cinnamon, clove, allspice, and nutmeg in a medium pot. Bring to a boil over high heat. Reduce heat and simmer for about an hours.
Remove from heat and stir in sugar until dissolved about 1 minute. Cool syrup to room temperature, about 1 hour. Refrigerate until ready to use.
Pour the mixture into glasses with ice. Add 88ml hibiscus syrup into each glass; top with 235ml sparkling water. Squeeze 1 lime wedge into each glass.