Jacques Dereber fought the number one British from a group to advance after Matteo Bertini in the semi -finals in Qatar.
Berrettini has benefited the former runner-up in Wimbledon, but the 16 Darbar world, which was well documented by the problems of the recent injury, responded elegantly to conclude 4-6 6-4 6-3 victory over Italian.
“I felt in the second group I was knocking on the door and did not take the chances completely, but I stayed strong,” Dryber told Sky Sports.
“It was a difficult battle against such a great player. In Australia I was very proud of my efforts because I reached the fourth round without playing any tennis in its season.
“I worked hard with my coaches and fitness, and I am happy because I found a better level this week, play matches and restore my confidence.”
Draper will now face Jiri Lehecka in the last four years after the Czech player got a shock 6-3 3-6 6-4 on the first seeded Carlos Alcaraz.
This was only the second defeat for this year for the Grand Slam champion in Spain, who also lost to Novak Djokovic in the quarter -finals of the Australian Open in January.
André Roblev defeated the second seeded Russia Alex de Minor from Australia 6-1 3-6 7-6 (10-8) to hold a meeting in the semi-finals with Felix Ogir-Elias, who won a victory against Daniel Medvedev after that he retired Russian through disease.
