The Melbourne race turned out to a huge chance for F1's bottom five teams, who would normally be finishing 11th at best on pace.
Between the races in Bahrain and Saudi Arabia only Haas had managed to score a single point in Jeddah.
But after the retirements for Red Bull's Max Verstappen and both Mercedes cars of Lewis Hamilton and George Russell, suddenly three points-scoring positions opened up.
RB's Yuki Tsunoda fully capitalised on their misfortune by finishing eighth, which became seventh following Aston Martin driver Fernando Alonso's post-race penalty.
Both Haas cars of Nico Hulkenberg and Kevin Magnussen rounded out the top 10, leaving Williams, Alpine and Sauber empty-handed after three grands prix.
Williams' Albon finished 11th in Magnussen's wake and said not being able to use Melbourne's rare opportunity to bank a chunk of points was gutting.
"It's been a frustrating one because our rivals scored points," he said.
"We need these races when you have three [cars] of the top teams retiring. You've got to capitalise on that and unfortunately, we didn't.
Source: Autosport