When flat globules become emboles, it signals a very serious medical condition. Fat embolism is where large globules of fat travel in the bloodstream. Fat globules can't dissolve in water. They are the individual pieces of intracellular fat inside cell types that are not adipocytes (fat cells). Intracellular fat is bound by phospholipid membranes, which are hydrophobic.
The globules must be transported within the cell, blood and tissue spaces because of their insolubility. They are emulsified in the stomach into small droplets by bile salts during food digestion, speeding up the rate of digestion by the enzyme lipase later on. An embolus blocks the blood flow in a blood vessel. A fat globule, if it has become an embolus, usually forms somewhere and travels through the circulatory system until it gets stuck
Fat embolisms do exist. They can easily be missed when a person is overweight and when they have dark skin too. These type of embolisms are hard to diagnose. They usually are found by a physician who has reason to suspect they might exist and is looking for one, eliminating other sources for the symptoms along the way.
There is also a certain medical condition that causes globules of fat to become embolisms. It is a rare but very dangerous disease. In the event someone has the illness, it is known that they have them. Otherwise, it is a difficult process to detect them and just because a person has one doesn't mean they will or won't have more.