Misano Adriatico - Spaniard Marc Marquez screamed with joy as he snatched victory on the final lap at the San Marino Grand Prix on Sunday to close in on a sixth MotoGP world title.
Marquez and Rossi both insisted the other had deliberately ruined his chance to start on pole position as they pushed for the best time on the final lap in qualifying.
Seven-time MotoGP world champion Rossi -- who last won in Misano in 2014 -- finished fourth 12.660sec behind Marquez after starting from the third row.
"Fabio, however, is ready to win a race and, starting next year, fight for the championship. now I can say that it is very nice to win in Italy."
"It was a very tough race," said Quartararo, 20, who has now achieved four podium finishes in his first season.
Suzuki's Alex Rins, winner in Silverstone, lost his third place in the championship standings after crashing out of the race, with the next round at home in Valencia next weekend.
Spain's Alex Marquez -- younger brother of Marc Marquez -- consolidated his overall world championship lead by finishing third.
Did not finish: Alex Rins (ESP/Suzuki), Francesco Bagnaia (ITA/Ducati-Pramac), Michele Pirro (ITA/Ducati), Takaaki Nagakami (JPN/Honda-LCR), Cal Crutchlow (Honda-LCR)
1. Marc Marquez (ESP/Honda) 275pts, 2. Andrea Dovizioso (ITA/Ducati) 182, 3. Danilo Petrucci (ITA/Ducati) 151, 4. Alex Rins (ESP/Suzuki) 149, 5. Maverick Vinales (ESP/Yamaha) 134, 6. Valentino Rossi (ITA/Yamaha) 129, 7. Fabio Quartararo (FRA/Yamaha-SRT) 112
1. Alex Marquez (ESP/Kalex) 197 pts, 2. Augusto Fernandez (ESP/Kalex) 171, 3. Thomas Lthi (Sui/Kalex) 159, 4. Jorge Navarro (ESP/SpeedUp) 155, 5. Brad Binder (AFS/KTM) 135
Selected: 8. Lorenzo Dalla Porta (ITA/Honda) at 3.740
Selected: 9. Tatsuki Suzuki (JPN/Honda) 75