Southgate refused to blame his side for conceding the second late free-kick from which Scotland scored, and is happy group leaders England still have qualification for Russian Federation in their own hands - although Slovakia will close with two points by beating Lithuania, while Slovenia are three points back.
"It was great for me personally to lead the team out, a very, very proud moment and to get that goal at the end made it even more special", said the striker.
"They've got to try and win now while we've got to concentrate on us and try to win the next couple of games to qualify". "I've shared the leadership around and I think that's important".
Montenegro and Denmark remain locked on points in the battle for second place after respective victories, 4-1 at home to Armenia and 3-1 in Kazakhstan.
England manager Gareth Southgate said his side's last-gasp 2-2 draw against Scotland demonstrated the kind of mental fortitude he is trying to instil in his players and he has challenged them to continue delivering in the big tournaments. I have a steady mind and I know my ambitions, I know what I want to do, and this team has great ambition.
"It's not often they come off".
"It is not going to allow us to recuperate any points".
"On our day we can match anybody".
"But you cant switch off against this England side, because they will punish you and that is what they did in the end". In the marines, they are life and death situations and we took as much as we could from the game and stood up to be counted.
Don't think we need to change anything for final: Kohli
While India beat Bangladesh in the semi-final by nine-wicket, Pakistan defeated England by eight-wicket to qualify for final. Even while bowling, he helps me a lot by giving indications from behind the stumps on how to bowl to a particular batsman.
Who impressed for England during their World Cup qualifying win over Scotland?
Former Scotland worldwide Steve Nicol laments England's last-gasp equaliser as "unprofessional" defending by Scotland.
As Kane was celebrating his goal, a Scotland fan threw a glass whiskey bottle, which narrowly missed his head, as reported by The Sun.
Thoughts on Joe Hart's performance against Scotland on Saturday afternoon? Scotland's deep-lying 5-4-1 system starved England's creative players of space, but gradually cracks began to appear.
Scotland goalkeeper Craig Gordon was nearly embarrassed by the striker soon after, coming out to head a weak clearance that only reached the striker, who lofted a shot towards goal that Tierney headed off the line.
Midfielder Amin Younes claimed his first goal for Germany before the break, and there were more cheers after it when Shkodran Mustafi scored two minutes into the second half.
Arsenal forward Alex Oxlade-Chamberlain broke the deadlock in the 70th minute from a close range finish.
Lallana, the Liverpool star, squandered a chance to extend England's lead when he headed over.