Is it possible that the remains of the globule come out of the vagina a few days later?

Such a situation about which you write usually takes place the next day after applying the globule. It is not absorbed in its entirety, so its particles escape from the genital tract. If the remnants you are talking about are not accompanied by itching, burning of intimate places, then most likely they are only the remains of the applied preparation and then there is no reason for concern. Please observe your body. I encourage you to familiarize yourself with useful materials: https://www.gdziepolek.pl/kategorie/probiotyki-ginekologiczne