Can you invite a non-Jew to a Shabbos/YT meal?
Shabbos:
Yes.
Yom Tov (when it falls on a weekday):
One may not invite a non Jew for any Yom Tov meals. If they come themselves, it is fine and you may give them food. But you may not cook for them.
Pesach:
On Pesach, by the Seder, one should not give them from the Matzah of the Keara.
#34555
Can I invite someone who is in the process of converting over for a Yom-Tov meal?