Is there a possibility to invite someone to our home for Shabbat dinner, if they are not Shabbat observant and will probably drive home after the meal?
The Aish Rabbi Replies:
Rabbi Shlomo Zalman Auerbach addressed your situation. He writes that one is permitted to invite someone who lives at a distance, as long as you offer him a place to sleep so that he will not have to desecrate Shabbos. Even if he does not take you up on the offer, and you suspect that he won't, that is okay because you have done your part to facilitate his Shabbat observance. ("Minchas Shlomo" 4:10:1)
Further, Rabbi Moshe Sternbuch explains that since you have their spiritual good in mind, this is not placing "stumbling block in front of the blind." (Teshuvos V'hanhagos 1:358)
Some rabbis go even further and say that you can let them drive if you estimate that this particular Shabbat experience will have a significant effect on their moving along in Torah commitment.
Rabbi Moshe Feinstein, however, was more stringent in these cases. ("Igrot Moshe" O.C. 1:99)
The bottom line is that every situation is different, and you should consult with your own rabbi for guidance.