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UK COMPANY 100% CONTROLLED BY A US COMPANY FORMED IN DELAWARE

Not too much simple, the UK entity Is controlled by an US entity (a single member). The customer wants an account in UK, I think that TW can works. Ah One director Is a nominee :)
 
The only banks that will do it are American banks.

Ask your client to speak to his bank to see if they can open an account in a branch in the UK.

Citi have done in the past.
 
Yes you are right the branch in UK it's the best option and not too much complex to set up. But the customer ask us a limited controlled from the US entity ....
 
There are multiple companies and EMIs you can try
Transferwise (UK GBP - EUR IBAN - US ACH)
Payoneer (UK GBP - EUR IBAN - US ACH)
Fire Bank (UK GBP - EUR IBAN)
Intergiro (Swedish multicurrency IBAN)

All of the above have accepted non UK UBO before. I have successfully used Intergiro before to get IBAN for UK LLP controlled by US single member LLC similar to your situation.