A bold one-stop strategy from Ferrari kept the McLaren pair of Piastri and Lando Norris at bay, despite the papaya duo closing in towards the end of the race.
Although they had both drivers finishing on the podium, Zak Brown's team were left with a sense of 'what could have been', as the competition between drivers was on display yet again in Monza.
Despite the rivalry between the duo being the main talking point after the race, Piastri has taken aim at another one of his F1 rivals for their on track behaviour.
Piastri slams 'go-kart' driving from F1 rival
The Aussie star was far from pleased with Aston Martin driver Lance Stroll, who he accused of driving at a level far below that of an F1 driver.
Talking to the media after the race, he said: "[I] had a few people who weren't very helpful, Stroll was driving like he was in his first go-kart race, so that cost a couple of seconds."
Although laughing at his own comment, Piastri's deficit to Leclerc was just over two seconds, suggesting his ire at Stroll could have prevented a race win.
McLaren have closed the gap to Red Bull down to just eight points, as they hope to leapfrog the reigning constructors' champions next time out in Azerbaijan.