The 114th meeting of global football's oldest rivals initially looked to be going the visitors' way after substitute Alex Oxlade-Chamberlain hushed the Hampden roar.
Incredibly, within two minutes it was Gordon Strachan's side who were ahead as Griffiths curled another lovely free-kick beyond the England wall.
"Scotland's no easy place to come, especially when you're 2-1 down in stoppage time; it makes it a little bit sweeter that we got something from it". It will be a good game, a good test against one of the best in the world. "Our coaching, youth development and young players get knocked - but why shouldn't young English players be able to achieve?" "We know his mentality, we have worked with him for a long time, we know he wants to be one of the best in the world", added the England manager. "That was beyond the call of duty at times".
"It was a game we should win and were in total control of, but two moments of brilliant quality from them turned it on its head in seconds", he said on ITV1. The questions around this centre on character, on the ability to withstand events that go against you. Maybe the clock runs out but you never ever stop. It could be a big point for us. Kane levels for the Three Lions! The Tartan Army arrived in hope rather than expectation and there was a good atmosphere, albeit nothing that could be described as friendly.More news: Chinese tour agency axes visits to North Korea for USA citizens
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Gareth Southgate is looking to name a new skipper now that Wayne Rooney's global career is seemingly winding down, and Kane staked his claim by rescuing a point for the Three Lions with a stoppage-time equaliser at Hampden Park on Saturday.
A brilliant Leigh Griffiths free-kick double nearly wrecked Kane's day but he was able to pop up in the third minute of injury time to volley home an equaliser.
But Leigh Griffiths broke his worldwide duck in sensational fashion as he curled home a 25-yard free-kick in the 87th minute - and then repeated the feat three minutes later.
Milivoje Novakovic scored for third-placed Slovenia in his final game before retiring to cap a 2-0 win over Malta.
Left-back Andrew Robertson felt that he, fellow defender Charlie Mulgrew and goalkeeper Craig Gordon were found wanting at the England leveller.