My impression is that they're here for at least an undergraduate degree.
Her aunt, who speaks English with an accent & some grammar mistakes but can always communicate her thoughts, wants them to EVENTUALLY start preparing for the
TOEFL, but has realistic expectations. After all, the student did have trouble with matching sentence fragments by joining compound nouns, and found a pronunciation exercise of "-ed' (D/T/ID) to be either too boring or too challenging, hard to say which is the case.
Bottom line is, I can definitely see the need for some objective form of assessing their current level of proficiency. When we first met, they greeted me w/ some advanced expression which made me wonder if they hadn't been here for years- but then it became obvious that they were not, and I now want to know more specifically what sort of areas we need to focus in on.