Hopefully, you are not undergoing something as expensive as Fraxel to remove milia. I suppose as a side benefit, Fraxel will probably remove many milia but there certainly are other, less intrusive and cheaper methods such as extraction. It would be more prudent to wait for a dermatology problem and have your dermatologist remove them gratis.
As for permanence, Fraxel, extractions and dreams can not prevent them from recurring. Using a Retinoid ( such as Retin A, Tazarac, or...