Vettel, who made two stops including a first one to replace a damaged front wing, and Bottas both moved up a place at the finish after Red Bull's Max Verstappen was handed a five second penalty for pushing the Finn off track on lap 44.
Championship leader Lewis Hamilton, who saw his advantage cut to 17 points last weekend, was third fastest - missing out on pole at Monza for the first time in five years. "I was really trying to do everything I can to get to the podium".
"It's very hard for people watching who are not naturally in it to feel what we feel - the pressure is at its highest that I can ever remember. But it was that way".
In what was arguably one of the most exciting races this season, title rivals Hamilton and Vettel collided on the opening lap.
The safety auto was deployed and Vettel went into the pits for a new front wing, coming out 18th.
Aston Villa sign Chelsea striker Tammy Abraham on season-long loan
Villa's last league win came in the second game of the season, when they picked up a dramatic 3-2 victory over Wigan Athletic. The England worldwide spent last term on loan at relegated Swansea City - scoring five goals in 31 appearances for the Swans.
"For me, it is easy, in the arena that we are in it is easy to allow it to get to you and allow it to have an impact on your life, but it is also quite easy to harness it and use it".
"Of course, when you get the boos, it's not as nice as someone shouting your name, but as Lewis mentioned, for sports people who have the right mindset, we can turn some negative experiences into strengths".
"Today was down to the least mistakes and ultimately and looking after the tyres", said the world champion.
"It's only half the job done, tomorrow is a very important part, so hopefully we can get another great result, said Raikkonen, who will start in pole position for just the second time in his F1 career". It definitely in football and here more than others from what I've noticed.
And despite the frosty relationship, Nico has now been incredibly vocal about his support for his old nemesis. Unfortunately, we didn't deliver.
Lyon strike deal for Celtic forward Dembele
Dembele - who was halfway through a four-year deal - sat out Thursday's Europa League win over Suduva after Lyon's bid emerged. Lyon announce the signing of Celtic and France Under-21 striker Moussa Dembele on a five-year deal for a €22m (£19.7m) fee.
"It is very, very easy to allow it to get to you, to allow it to have an impact on your life and have you think about it, all these different things". They certainly seemed to have a very good vehicle in qualifying and a good auto in the race but we haven't seen Sebastian perform in a vehicle without any damage.
The former Mercedes man also said the Ferrari driver was "110% at fault" for his clash with Hamilton in Monza.
He insisted his conviction that Ferrari was now faster than Mercedes meant the fact his championship deficit to Hamilton was the biggest it had been all year was nothing to be concerned about.
"I don't want to go any further because it could be read in another way that I am trying to find excuses, but they have certainly had a very, very good auto [on Saturday] and a good vehicle [on Sunday]". "We need to take care of our tires, Kimi", says Ferrari.
Vettel may be out of his comfort zone with a younger charge alongside him but if Leclerc can take points away from Hamilton, then it could actually make future title hopes stronger.
Serena Williams wins in tutus at U.S. Open
Just days after being criticised for wearing a tight black catsuit, Serena Williams made her return to the US Open in style. Serena Williams made it through to the third round of the US Open on Wednesday, setting up a clash with sister Venus .