The meeting lasted 1 hour 4 minutes and ended with a score of 6:2, 6:2 in favor of the eighth racket of the world.
The 24-year-old Russian tennis player filed right through five times, did not make a single double fault and converted four out of eight break points.
Andrey especially outperformed his opponent in receiving, taking 23 out of 46 points, while Fognini won only eight out of 41.
In the final, Rublev will play with the world ranking leader Serb Novak Djokovic.
Earlier it was reported that another Russian - Karen Khachanov - lost to Djokovic in the semifinals of a tennis tournament in Belgrade.