- 1984 - Summer Olympic Games, Road Race :: Gold Medal
- 1981 - Bob Cook Memorial Mt. Evans Hill Climb (1:57:36) :: 1st
- 1982 - Cascade Cycling Classic :: 1st
- 1984 - Bob Cook Memorial Mt. Evans Hill Climb (1:47:51) :: 1st
- 1986 - Front Range Cycling Classic :: 1st
- 1988 - Redlands Bicycle Classic :: 1st GC
- 1990 - Bob Cook Memorial Mt. Evans Hill Climb (1:46:29 - former record) :: 1st
- 1993 - Nevada City Classic :: 1st
One of America's most colorful and emotional road racers, Alexi is most noted for his hill climbing and stage racing abilities.
Although he won many of the toughest events on US soil, he is best remembered for the season he had in 1984, specifically the Los Angeles Olympics at which he won America's first Olympic gold medal in road racing, and the first official men's gold medal in cycling since 1912. With an estimated crowd of 300,000 lining the 190.2-kilometer route, Grewal edged Canadian Steve Bauer to claim the gold medal in the men's road race, breaking away from the field with 20 kilometers remaining and opening up a 24-second lead after 11 of 12 laps and then being caught by Bauer with 10 kilometers left, setting up a dramatic final-lap showdown. This scene, replayed many times since, is one of the most emotional Olympic victories of the Modern Games. It has been an inspiration to millions of people worldwide and is seen as a turning point for American road cycling. Alexi went on to turn pro following the Olympics, and competed in the Tour de France.