An omnibus account pools many clients’ holdings of the same security into one account at a custodian, broker or central securities depository, recorded in the intermediary’s name rather than the underlying owner’s. It is an ordinary feature of modern securities markets: it is what makes large-scale clearing and settlement efficient, and most omnibus accounts have nothing to do with evasion.
What it does to visibility is the relevant point here. A US custodian holding an omnibus account for a foreign intermediary generally sees the intermediary, not the intermediary’s own clients. If one of those clients is a sanctioned party, the custodian has no direct way to know it unless the intermediary tells it, screens on its behalf, or the intermediary itself is listed.
That is a narrower version of the problem nested correspondent accounts create in banking: an intermediary standing between the institution that can see a name and the institution that can block a payment.