I personally use Bush's Oil treatment, but assuming that the techniques you use with that are the same, I would sand progressively with 80, 120,180, and 220 grit, and then apply oil and wet sand with 400. Wipe the oil off after 20 minutes, and repeat as necessary. Finish without sanding and leave oil to dry to hard surface for 24 hours.
Try on sample piece first, and let me know how that works.
Scootch in Va