"I will remember this match for (the rest) of my life", said the 30-year-old Spaniard. "It was an unbelievable atmosphere", Bautista Agut said on court. "I can still get to one or two levels up, but I thought under the circumstances I managed to find a way to win against a player that is hitting the ball very fast and just being very aggressive", he added.
The shocking upset over world number one Djokovic comes at a time when the Serbian is red hot. I'm happy with the way I'm playing. Those were the Swede's last chances.More news: Lamar Jackson Will Become Youngest QB To Start NFL Playoff Game
He lost his first service game and never recovered the break as Basilashvili, the number five seed, powered by a blistering forehand took the first set.
The first win came in October 2016 at the Shanghai Masters when Djokovic was also No 1 at that stage.
For Bautista Agut, he will now face Marco Cecchinato in the final after the Italian defeated Tomas Berdych in straight-sets. The irrepressible Djokovic is set to play his sixth match of the week later on Thursday when he continues his doubles partnership with his brother Marko.More news: Bottrop attack: German driver 'tried to mow down migrants'
It is the first time Djokovic has won back-to-back matches from a set down since Cincinnati in August past year, a tournament he went on to win.
Agut, ranked 24, took the second-set tie-break on his fifth set point and then broke in the opening game of the decider, eventually sealing victory in two hours and 35 minutes. He was solid and I had to play good tennis.
The second began as an even affair with a string of impressive baseline rallies that Djokovic initially dominated, his athleticism and power forcing more errors from his opponent. "In conditions like this, it's quite suitable to him", Djokovic said of Bautista Agut.More news: Pelosi says Democrats will give "nothing for the wall"