Pour the oil into a tall, freezer-proof glass. Transfer to the freezer for 30 minutes. Be careful to not allow the oil to solidify!
Dissolve the agar-agar:
About 15 minutes before the oil is ready, combine the agar-agar and vinegar in a small pot. Bring to a low boil over medium heat and whisk until completely dissolved. Let cool for 5–10 minutes.
Make the pearls:
Remove the oil from the freezer. Fill an eyedropper with the balsamic mixture and carefully drop the vinegar into the oil one drop at a time. Continue on until the droplets drop to the bottom of the oil and all of the vinegar has been used.
Strain the pearls:
Pour the oil through a fine-mesh sieve placed over a bowl and immediately transfer the pearls to an air-tight container. Store in the refrigerator for up to 1–2 weeks. Reserve the oil for another use. Enjoy!