In the 2004–2005 World Cup season, Grishin started four races, finishing no higher than eleventh place, including the fourth race where he finished at 28th place (out of 35 competitors) on the first day at Lake Placid in January. On the second day at Lake Placid, he improved and finished in sixth place. In the next four races, he had two third-place finishes. He finished in eighth place after 12 races. In other races, he won a gold medal at the European Cup in Arosa, Switzerland, in December 2004 and a bronze medal in the FIS Freestyle World Ski Championships 2005 in March at Ruka, Finland.