Argentinian World Cup-winner Alvarez, on his 24th birthday, netted twice in the first half and Rodri added a third as the champions went untroubled until Ameen Al-Dakhil grabbed a stoppage-time consolation at the Etihad Stadium.

City were further cheered by the sight of Haaland returning from injury as a late substitute while Kevin De Bruyne made his first Premier League start since August.

It was a miserable return to the ground for former City captain Vincent Kompany, the Burnley manager, with his side comprehensively beaten and left seven points adrift of safety.

Given their predicament and having conceded 37 goals in their previous nine visits to the Etihad, the Clarets were hardly expected to trouble the treble winners.

Yet this was an especially limp performance and City, aided by some poor defending, barely got out of second gear.

After 15 minutes of the home side calmly controlling possession, Phil Foden caught the visitors off-guard as he released Matheus Nunes with a flicked ball.

The Portuguese’s first cross was blocked but he was given all the time he needed to attempt it for a second time, and casually picked out an unmarked Alvarez to head home from close range.

Burnley were caught napping again just six minutes later as the striker doubled City’s lead from a cleverly-taken set-piece.

De Bruyne spotted a huge gap in the area as he lined up a free-kick and played a low ball in for Alvarez to turn and slot past former City youngster James Trafford.

It was a routine that had clearly been worked on in training as manager Pep Guardiola made a point of congratulating his assistant Carlos Vicens, a dead-ball specialist.

City threatened more as Nunes tested Trafford from a tight angle and a dangerous Jeremy Doku cross was turned behind.

Burnley had a rare chance when Lyle Foster curled an effort narrowly wide but City tightened their grip in the opening minute of the second half.

Foden was again instrumental as he raced onto a De Bruyne throughball and pulled back for Rodri, who nonchalantly passed into the net from the edge of the area.

Burnley had a fleeting opportunity as Zeki Amdouni blazed over and their frustration was evident as Connor Roberts got involved in a needless confrontation with Rico Lewis and Ederson.

After that the biggest cheers from City fans came as Haaland entered the fray 19 minutes from time.

He was unable to find the net despite some good runs and one air shot.

Burnley had the final say when Al-Dakhil turned in a cross from debutant David Datro Fofana’s cross but the outcome had long since been determined.