Allow coffee cooked the day before to cool, then freeze in ice cube containers. Cover almonds with cold water and let them swell overnight.
Drain the almonds the next day. Puree finely with 1 l hot water in a mixer for about 2 minutes. Line a sieve with gauze cloth. Pour in the almond mix and pass through. Squeeze the cloth well with the puree.
Chill the almond milk.
Shortly before serving, froth up almond milk. Divide coffee ice cubes between four glasses. Top up with almond milk.