Hart, ostracised by Manchester City manager Pep Guardiola and likely to leave the Premier League club this summer, was also guilty of high-profile mistakes during last summer's European Championships as England were embarrassingly eliminated by Iceland.
There have been 114 meetings between the countries but none have ended as dramatically.
Kane, who was handed the captaincy for the first time by Gareth Southgate, proved to be the hero for England but might have scored with the best chance of the first half when he collected Craig Gordon's poor header and lobbed him from 30 yards.
"To do it twice in however many minutes it was after not really having a sniff the whole game, it was a big moment for him".
"You have to expect the unexpected and we were 2-1 down from nowhere but we found another gear".
"But everyone stood up to it". In those gaps, an global manager can come up with innumerable theories and solutions on paper to his side's problems, without really knowing if they work in practice.
Scotland keeper Gordon accentuated the positives from a thrilling encounter, saying: "It is still a point and we probably would have taken that before the start". I see body language which says we are still in the game. "I think it's a significant goal for many different reasons".
"I think it's a huge moment for the team", said the former defender, whose side remain on top of Uefa qualifying Group F with 14 points from six games.
Leigh Griffiths was left "gutted" following Scotland's 2-2 draw with England despite scoring a brace of free-kicks with his first goals in dark blue.
"But one lapse of concentration has cost us in the end and instead of getting three points we got one".
In the Italy game a decade ago, yes, the decision by Spanish referee Manuel Enrique Mejuto Gonzalez to award a free-kick against Alan Hutton despite the right-back being fouled was weird and infuriating, but we still then allowed Christian Panucci a free header to puncture our dreams.
"The objective is to qualify", he added.
François Ruffin qualifié pour le second tour dans la Somme
François Ruffin a obtenu, dimanche 11 juin, le droit de concourir au second tour des élections législatives . Il arrive à la deuxième place, derrière le candidat de LREM Nicolas Dumont, maire d'Abbeville (33,7%).
Scotland's Leigh Griffiths scores his first goal from a free kick at Hampden Park in Glasgow on Saturday.
England looked to be headed for a hard-fought win, when Lee Griffith's netted not one, but two cracking free-kicks on 87 and 90 minutes.
But Kane popped up deep into stoppage time to preserve a two point cushion for England in the standings.
"I've seen Scotland's best ever free-kick and then I've also seen Scotland's second best ever free-kick", Strachan said.
"I should be absolutely delighted with two goals and man-of-the-match, walking in here with three points". It's the first time we've been able to pick Harry (Kane).
"I don't want to talk about being low".
Graeme Souness believes the missed opportunity to beat the "Auld Enemy" will "haunt Scottish people for decades".
The full-back conceded that Scotland's absence from Euro 2016 was particularly painful given that the other home nations all qualified but said that Saturday's performance against England was a statement of their ability. "That will haunt us for generations".
"Whatever anybody thinks about us as a group of players, one thing you can't question is their personality, character and commitment".
Scotland: Gordon, Berra, Mulgrew, Robertson, Tierney, Brown, Armstrong, Anya (Chris Martin 81), Snodgrass (Fraser 66), Griffiths, Morrison (McArthur 45).
Southgate reacted by sending on Oxlade-Chamberlain for Rashford in the 65th minute and five minutes later, the Arsenal man put England ahead.
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