Dimuth Karunaratne and Lahiru Thirimanne were both unbeaten on eight, weathering some 30 minutes before bad light stopped play slightly early.
At stumps, Sri Lanka were 123 for three in reply to Australia's 534-5d
The 21-year-old was overlooked for the first Test in Brisbane and again missed out on selection for the second Test currently being played in Canberra
On a cool, overcast day, Burns and Head dug Australia out of a hole after they lost Marcus Harris, Usman Khawaja and Marnus Labuschagne cheaply
On the back of the Brisbane thumping, Australia have opted to go with an unchanged side for the second Test in Canberra
Hathurusingha was officially removed from the on-tour selection panel, governing body Sri Lanka Cricket (SLC) said
'Mitch has got all of my support and everyone's support in that change room, so it is pretty unfair criticism in my eyes'
In another injury blow, Sri Lanka Cricket said Dushmantha Chameera had been ruled out of the final Test at Canberra.
Sri Lanka 144 in the first innings and just 139 in the second in reply to Australia's first innings total of 323.
Wahab Riaz, Faheem Ashraf included in 20-man shortlist for England Tests
Azhar's splendid ton, Fakhar's boundary-laden 99 drive Team Green to victory
Mohammad Amir to join Pakistan squad; Haris Rauf dropped after positive test results
Sohail Khan bags five wickets as Pakistan's leading batsmen flounder
'Plans underway to stage remaining PSL matches this year' - PCB
Team Green put on improved batting display after Naseem Shah shines again
Babar, Haider, Rizwan compile fifties after Sohail picks five wickets
'Disappointed over England tour snub given my experience of county cricket' – Junaid Khan
Haris Rauf set to join Pakistan squad in England after returning two negative tests
Bringing Mohammad Amir back is a positive move, says Waqar Younis