Warne was effusive in his praise for the Indian team which braved injuries to its key players and absence of regular skipper Virat Kohli after the first Test on paternity leave to emerge triumphant.
Some social media users said that was not enough, and that Warne and Symonds should also say sorry.
The 30-year-old cricketer also shared how he switched over to leg-spin from medium-pace bowling on his dad's advice.
Head's scores of 7, 38 and 17 in the ongoing Test series against India have left Warne "frustrated".
Shane Warne hailed Ajinkya Rahane's innings and said it was one of the best he has seen from an opponent captain.
Over the last few years, MCG has seen few draws being played out and the pitch at the ground has been subjected to severe criticism.
India vs Australia, Boxing Day Test: Shane Warne 'very surprised' as Tim Paine survives run out review
The incident happened in the 55th over of the Australian innings when there was a mix-up between Cameron Green and Paine.
Australia had bundled out India for their lowest-ever Test score of 36 in the opening Test which the hosts won by eight wickets.
Prithvi Shaw will struggle at international level with his technique, says Ex-Australia spinner Shane Warne
Warne also said that there is no surprise that opening batsman Joe Burns failed to get runs in the first innings as he looks terribly out of form.
The pink ball, you can actually see the ball easier, crowd can see the ball easier. It generally does more than the red ball and it looks fantastic on TV, the Australian spin legend said.
Warne has expressed his disappointment at the current bowlers' lack of willingness to hone their skills, innovate, execute and fight, a far cry from his days of dominance.
Australia secured a massive 66-run victory over India in the first ODI on Friday, taking a 1-0 lead over the visitors in the three-match series.
Warne, one of the greatest spinners of all time, scalped 708 wickets in 145 Tests for Australia. In 194 ODIs, he picked 293 wickets.
His remarks came after Mumbai Indians' Kieron Pollard was adjudged not out based on umpire's call after SunRisers Hyderabad (SRH) took a review during the last league-stage match.
Samuels in an Instagram story had abused both Stokes and Warne and the Windies all-rounder had also boasted of his superior skin tone.