Reduce the cream by half, chill, then blend with the mozzarella until smooth. Whisk in calcium lactate; refrigerate 30 minutes.
Make alginate bath: blend 4 g sodium alginate with 4 cups water until fully hydrated. Let rest 15 minutes to remove bubbles.
Form spheres: gently spoon the burrata mix into the bath; allow a thin membrane to set (about 60–90 seconds). Transfer to clean water to rinse.
Pasta cups: roll pasta thin, press into mini tart molds. Bake at 350°F until golden and crisp; cool.
Crispy basil: fry basil leaves a few seconds until translucent; drain on paper towel.
Assembly: place spheres into the pasta cups and top with crispy basil. Serve promptly.