Azhar Ali insists the Test progress made by Babar Azam means Pakistan have a major positive to take out of their heavy series defeat to Australia.

Pakistan lost the second Test by an innings and 48 runs on day four in Adelaide after Nathan Lyon took 5-69 in their second innings of 239 all out.

The tourists were following on after Australia declared on 589-3 in a first-innings onslaught inspired by David Warner's 335 not out.

Pakistan also lost the first Test by an innings but Azhar was unwilling to completely write off the tour ahead of two matches against Sri Lanka later this month.

Already a star in limited-overs cricket, T20I captain Babar scored 104 in the opening Test in Brisbane and 97 in the first innings of this contest.

"He's been tremendous in white-ball cricket and in the recent past he's been gradually building up his Test stats as well," Test skipper Azhar said of Babar. 

"This series definitely will be the breakthrough he wanted. We were all hopeful that he would do it.

"He's a good enough player. We all know that. But sometimes if you score in tough conditions against tough bowling attacks, it gives you the extra boost and the belief that you can make even better strides in Test cricket.

"That's been a big positive now for us that Babar has stamped himself a Test player. He's been fantastic throughout the year, lovely to watch and hopefully he can continue this form in the Tests that are coming. Babar has been exceptional."

Azhar also highlighted the performances of wicket-keeper Mohammad Rizwan and Yasir Shah, who scored 113 in the first innings at number eight, but conceded the series was ultimately a disappointment.

He added: "Rizwan waited for his chance and then grabbed it with both hands. The way he batted at Gabba and the way he kept wickets in both games has been fantastic.

"We didn't want to give up at any stage and Yasir put up a lot of fight.

"But it has been a disappointing series. We didn't live up the expectations that were based around this young team. It's very hard here with a young bowling attack and we came with a lot of expectations but it didn't go well. 

"To win Test matches we need to take 20 wickets and we need to work out how to do that. And also to score big in the first innings – getting ahead of the game here is very important.

"It's always hard coming to Australia and we've been beaten by a better side. But very positive for the future, we will learn a lot.

"I'd like to congratulate Australia, especially David Warner for his triple hundred."