Verstappen's car, pushed onto the sausage kerb at the Turn One chicane, ended up with its back wheel rolling over the top of his rival's Mercedes, narrowly missing Hamilton's head.
Red Bull's Max Verstappen leads seven-time world champion Lewis Hamilton by five points at the top of the drivers' standings.
Daruvala, who had sealed his second Formula 2 win with a dominating drive in the second sprint race on Saturday, was sluggish from second and clocked 56:41.936.
Jehan's dominance meant he won the race by over six seconds, ahead of Viscaal & Shwartzman. This was Jehan's third podium of the season and second Formula 2 victory after the Sakhir Grand Prix weekend last season
Bottas finished the 18-lap dash 2.325 seconds ahead of Verstappen but will start at the back of the grid on Sunday as he is going to take a new power unit and will receive a penalty for doing so.
Formula 1 2020: Ferrari chief Mattia Binotto says team looking to put 'worst of days' behind at Mugello
Ferrari also finished outside the points in the previous race in Belgium and the second successive double flop dropped them to sixth in the constructors' championship.
Formula 1 2020: Pierre Gasly races to stunning victory at Italian GP as Lewis Hamilton handed penalty
Pierre Gasly finished 0.415 seconds ahead of McLaren driver Carlos Sainz and 3.358 ahead of Racing Point's Lance Stroll on a surreal-looking podium.
Formula 1 2020: Ferrari hurting after both drivers fail to qualify inside top 10 at Italian GP since 1984
After their pointless flop at the Belgian Grand Prix last Sunday, this was another embarrassment for the 'scarlet scuderia', but little surprise to their drivers.
Formula 1 2020: Eight drivers summoned by stewards over Lewis Hamilton near-miss during Italian GP practice
As a result of the incident, when Hamilton changed direction at around 300 kph, he was summoned along with Nicholas Latifi, Romain Grosjean, Sergio Perez, Pierre Gasly, Lance Stroll, Alex Albon and Carlos Sainz to explain what happened.
Formula 1 2020: Lewis Hamilton emerges quickest in Friday's second practice, expects Saturday's qualifying to be a 'nightmare'
Hamilton, who outpaced team-mate Valtteri Bottas by nearly three-tenths of a second, said he anticipated a similar scenario to last year when most drivers backed off so much they failed to clock a final fastest lap.
Ex-Ferrari president Di Montezemolo said Vettel carried no blame for his and the team's struggles, adding that the team was not prepared for the sport's move to hybrid turbo engines in 2014.
Formula 1 2020: Mattia Binotto says Ferrari in the middle of a ‘storm’ ahead of home Italian GP, but denies ‘crisis’
Ferrari’s 2020 slump reached a new low on Saturday when after Vettel wound up last in third and final practice, the team faced the prospect of failing to progress from Q3 in qualifying.
Italian Grand Prix at Monza, held not far from Ferrari's factory, has declared tickets will be fully refunded.
Formula 1 2019: Charles Leclerc's defence, Sebastian Vettel's questionable decisions and more talking points from Italian GP
From Charles Leclerc's impressive rise through the ranks to Lewis Hamilton's pursuit of the young Ferrari talent, here are all the talking points from the Italian GP.
Charles Leclerc is in only his second season in Formula One and 14th race with Ferrari but it is already hard to remember that many questioned the wisdom of handing a coveted seat to one so young.
Formula 1 2019: Lewis Hamilton plans to have a word with Ferrari’s Charles Leclerc after being squeezed off track at Italian GP
Lewis Hamilton plans to have a private word with Ferrari’s Charles Leclerc after being squeezed off the track by the Italian Grand Prix winner on Sunday.
Italian Grand Prix: Sebastian Vettel crestfallen after finishing 13th but says he still loves his job
After the race, Vettel was also handed three penalty points on his Formula One driving licence for his move with Stoll, a blow that left him one serious incident from a ban.
Charles Leclerc has now won back-to-back races to win at Spa and now at Monza. These have been his first F1 career wins.
Formula 1 2019: Charles Leclerc claims Italian Grand Prix pole after shambolic qualifying 'mess' sees only two cars in final showdown laps
At Monza, an unprecedented ‘cat-and-mouse’ procession as the teams crawled round the circuit, backing each other up to claim good slipstreaming positions, resulted in a farce that saw eight cars timed out by the chequered flag.
Five-times world champion Lewis Hamilton has a contract with the Silver Arrows until the end of next season, when the sport is due for a rules revolution.