To clarify, are non-degree graduate students eligible for FLAS Fellowships?
Non-degree graduate students are eligible as long as you have a Bachelor’s Degree. Not being in a degree program does place you in a less competitive category, because preference is given to applicants who are in (or about to enter) a graduate program. Highest preference is given to those in degree programs at Cornell. Since the FLAS is a “portable” fellowship, your odds of receiving it through your own school may be higher. You may look into competing for this fellowship at your home institution and using it to study here.