Divide the pomegranate seeds among the holes in an ice cube tray, fill with water, and freeze until solid.

In a large jug, tear half of the mint leaves and add the lime quarters.

Using a rolling pin, gently bash the mint and lime to release their flavors.

Pour the pomegranate juice and lemonade into the jug and stir to combine.

Place the pomegranate ice cubes in each glass, then strain the pomegranate mixture over the ice through a small sieve.

Garnish with lime slices and reserved mint leaves.

Serve immediately.