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I don't believe you report the interest paid to a foreigner on a 1099-INT.  Rather, you should report the payment and withholding on an IRS Form 1042 series   Take a look at this link below from the IRS.  In addition to Form 1042. there is a 1042-S and a 1042-T.  You may be required to file most of these forms electronically.  See the 1042 Instructions.

 

About Form 1042, Annual Withholding Tax Return for U.S. Source Income of Foreign Persons | Internal ...

 

Use Form 1042 to report the following:

  • The tax withheld under chapter 3 on certain income of foreign persons, including nonresident aliens, foreign partnerships, foreign corporations, foreign estates, and foreign trusts.
  • The tax withheld under chapter 4 on withholdable payments.
  • The tax withheld pursuant to section 5000C on specified federal procurement payments.
  • Payments that are reported on Form 1042-S under chapters 3 or 4.