In a pot, add strawberries, sugar, and lemon juice. Cook at medium heat stirring often until boiling. Continue cooking about 3 minutes longer, and strain. Keep liquid only, and let it cool completely. (Strawberry chunks can be eaten separately as a ice cream or pancake topping.)

Shave ice into a bowl to make a tall mound of shaved ice, according to the instructions of Kakigori machine.

Pour 3-4 Tbsp of the strawberry syrup over the ice and drizzle condensed milk on top. Serve immediately.