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I am going to change the name on my Indian passport from Given Name:ABC XYZ, Surname: "Blank" ----> Given Name:ABC, Surname: XYZ. My US F1 student visa will remain on my old passport with the old name. As far as I've read, this should not cause issues while re-entering the USA as I will have proof of the name change.
The question I have is regarding an application for Schengen Visa (at the Slovenian embassy in the US): will they accept my US F1 visa with the old name as a proof of stay in the United States? Will having these two passports cause problems for getting the Schengen visa?