Foam sclerotherapy can certainly soften their appearance. Ultrasound guidance can help ensure that the foam does not go into your deep vein connections. You would need compression post-procedure, and may have trapped blood that could be aspirated to expeditated the healing when you come back for...
I suggest the application of laser to resolve superficial varicose veins, the result is immediate in the first session and no rest or compression stockings are required after the procedure.