Gift tax in the United States
If a person is a non-resident alien for purposes of gift tax, taxation of gifts is determined in a different way. If the property is not located in the U.S., there is no gift tax. If it is intangible property, such as shares in U.S. corporations and interests in partnerships or LLCs, there is no gift tax.
Estate tax in the United States
The tentative tax is reduced by gift tax that would have been paid on the adjusted taxable gifts, based on the rates in effect on the date of death (which means that the reduction is not necessarily equal to the gift tax actually paid on those gifts).