There is no indication to have the patient return the following day for treatment on the same leg. I would ask the treating physician his or her logic to having you return 1 day later. Having the patient return the following day is not indicated unless there are concerns of complication by the physician. Please see a vein specialist who is comfortable with EVLT.
IT is not uncommon to perform vein procedures on multiple days. We usually try to separate them by a few weeks if possible to allow the person to heal. Sometimes, the procedures can be combined on one day. I would discuss this with the physician and see if combining the procedures is possible or separating them by a longer time period would be considered