If separate wines are to be served for different courses , and if the glasses are to be set for each service , carry the glasses to the table by hand , holding them by the stem , or on a hand tray , or on a wine cart. From the right side of the guest , using the right hand , place the new glass on the table to the left of the previous glass. Then remove the previous glass. If wine still remains in the old glass and the guest wishes to keep it , do not remove it. Glasses should be removed as soon as the previous wine is finished , unless a guest indicates otherwise. In some cases , as at the end of a course or when a wine change has been ordered , it is proper to remove the old glasses regardless of whether or not there is wine remaining