Related for Terumot 1:1
חֲמִשָּׁה לֹא יִתְרֹמוּ, וְאִם תָּרְמוּ, אֵין תְּרוּמָתָן תְּרוּמָה. הַחֵרֵשׁ, וְהַשּׁוֹטֶה, וְהַקָּטָן, וְהַתּוֹרֵם אֶת שֶׁאֵינוֹ שֶׁלּוֹ. נָכְרִי שֶׁתָּרַם אֶת שֶׁל יִשְׂרָאֵל, אֲפִלּוּ בִרְשׁוּת, אֵין תְּרוּמָתוֹ תְרוּמָה:
Five [types of people] may not set aside <i>Terumah</i> [produce consecrated for priestly consumption], and if they did set aside <i>Terumah</i>, their <i>Terumah</i> is not [valid] <i>Terumah</i>: the deaf person, and the fool, and the minor, and one who sets aside <i>Terumah</i> from what does not belong to him. If a non-Jew who set aside <i>Terumah</i> from what belongs to a Jew even with permission, [the non-Jew's] <i>Terumah</i> is not [valid] <i>Terumah</i>.
Tosefta Terumot
A Gentile that separates the terumah of his friends (חבריו not חברים per the GR"A), or of a Jew, even with permission, his terumah is not [valid] terumah (Ter. 1:1). It so happened in Pinah (alt. "in Pigah" =בפיגא), that a certain Jew said to a Gentile, "Separate the terumah of my threshing floor." And he separated the terumah, and [subseqently] the terumah fell back onto the threshing floor [becoming mixed with the rest of the produce]. And this matter came before Rabban Gamaliel (alt., "Shimon ben Gamaliel") and he said, "Since the Gentile separated the terumah, it is not [valid] terumah," [and thus the resulting mixture is not forbidden]. Rabbi Yitzhak says, a Gentile that separates the terumah of a Jew, and the owners [of the produce] remain near him [throughout the process], his terumah is [valid] terumah.
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