Norris’ hopes of victory appeared to have faded when he attempted to pass Piastri into the first corner after the start but was forced onto a tight inside line, allowing Russell and Alonso to pass him.
With overtaking so difficult, that put Norris on the back foot.
Meanwhile, Piastri was in second place challenging Leclerc, who had held the lead off the line. Russell ran third, ahead of Norris, who had quickly passed Alonso’s Aston Martin.
Leclerc at this stage looked to have the race under control, and was 2.5 seconds ahead of Piastri when McLaren pitted the Australian.
The idea was to ‘undercut’ the Ferrari, but Leclerc responded on the next lap and comfortably managed to retain the position.
At this point, Norris decided to extend to give himself a tyre offset and that plan extended into going for the one stop.
“I didn’t think it would get us the win,” Norris said I thought maybe it would get us into second, I knew if had some clean air an could push I would maybe make it work.”
Norris extended his stint to lap 31, giving him 39 laps to do on a set of hard tyres.
Leclerc was at this stage still in the race, second between the two McLarens, and Piastri negotiated with his engineer, saying he would rather bias his strategy to give himself the best chance to beat Norris, saying he didn’t care about the Ferrari.
Leclerc made his second stop on lap 40, while Piastri waited another five laps for his, to give himself the maximum grip advantage over Norris.
Back on track, Piastri swept around the outside of Leclerc to take second place on lap 51, with 19 laps to go, and set about closing the nine-second gap to Norris while trying not to take too much out of his tyres.
He was within range to be able to use the DRS overtaking aid with five laps to go, but Norris was just able to hold him at bay.
“I’m dead,” Norris said. “It was tough. We weren’t really planning on the one-stop at the beginning but after the first lap it was kind of our only option to get back into things.
“The final stint with Oscar catching I was pushing flat out. Rewarding for that and the perfect result today.”
Piastri said: “I pushed as hard as I could. After I saw Lando going for a one, I knew I would have to overtake on track, which is much easier said than done around here. Today we were just on the wrong side of it.
“He didn’t have a lot to lose. I don’t know if trying to undercut Leclerc was the right call in the end but we can go through it after.”
Alonso controlled his pace in the early laps, holding up the rest of the field, to give his tyres an easy time when the car was full of fuel.
He then upped his pace to build a gap to Bortoleto, stopped on lap 39 and ran to the end.
Combined with team-mate Lance Stroll’s similar drive to seventh place, Aston Martin move up to sixth in the constructors’ championship, one point ahead of Sauber.
Racing Bulls’ Liam Lawson took eighth, ahead of Max Verstappen’s Red Bull, uncompetitive all weekend, with Kimi Antonelli’s Mercedes taking the final point.
