With the world's number one Test nation awaiting them in Adelaide in the first of four Tests from Thursday, Paine said it was time to start looking forward.
Local hero Head joined Peter Handscomb (34) at the crease and the pair put on 33, but just when Handscomb looked to be opening his shoulders he played a lazy cut shot and edged to Rishabh Pant in the slips.
"Barring the one at Lord's (where India lost by an innings and 159 runs) most of the matches that we have lost they actually have got themselves in a winning position and squandered it".
Virat Kohli later handed Ashwin the second new ball but the gun offspinner couldn't prise out Head or Mitchell Starc. But because the runs were kept to a minimum - Australia batted 27 overs for their 57 - India still have a chance to make amends.
It was the Pujara show all day in the face of some disciplined Australian bowling.
The senior off-spinner bowled an incisive spell that tied down the Australian batsmen.More news: Confidential emails from Facebook executives published as part of fake news inquiry
Pujara faced 141 balls for a dogged 46 not out with his latest partner Ravi Ashwin unbeaten on five on a day characterised by poor shot selection.
Paceman Mohammed Shami bowled untroubled after an earlier injury scare. "We are taking the opportunity to send him back to play a Shield game and get some cricket under his belt knowing that at some stage we will need him". All of a sudden, the visitors were reduced to 19/3 in the 11th over.
Australia now trail by 177 runs.
He bowled 70 over in that Test and will again be saddled up to be both a strike and stock weapon and Paine said the heat would also be put on Australia's seamers. Shami went after a short delivery from Josh Hazlewood (3/52) only to glove it down leg side, as India's innings came to a quick end. The spinner Nathan Lyon also bagged a couple of wickets.
In reply, Australia failed to pace their innings well.
Sharma then had a brain fade and needlessly tried the same thing on the next ball, and this time debutant Marcus Harris comfortably collected the catch, with the right-hander once more failing to capitalise on a good start.
"To be honest, we should have batted better", Pujara said. "So one man's show is not likely to win you a series overseas", veteran sports journalist Ayaz Memon told AFP. Usman Khawaja is caught behind. Marcus Harris, making his test debut, fell just before lunch when he prodded a full Ashwin delivery to Murali Vijay at silly point. Marsh's eagerness to feel bat on ball has brought him a dire run of scores at precisely the moment Australia needed him most - he is most certainly yearning for success so badly that he is finding it impossible to relax in the manner that he does on his best days, playing the ball under the eyes and striking it with certainty. Shaun March threw his wicket away when he chase a wide, looping delivery and only succeeded in dragging it back onto the stumps in the first over after lunch.