The manager was still recovering yesterday after Saturday's 2-2 draw with England.
Strachan also applauded the contribution of Griffiths.
England's World Cup Qualifier against Scotland on Saturday evening took a while to get going. But Strachan, whose position would have been in serious doubt had Scotland lost, remains confident his team can still progress.
"I think it's a huge moment for the team", said Southgate, who took his squad to a military training camp on a team-building exercise last week. I can not remember anyone hitting a better free-kick and hitting another one straight after.
Celtic goalkeeper Gordon was heavily criticised for both goals, having shown weak wrists to stop Oxlade-Chamberlain's effort, and then could have come off his line to gather the cross leading to Kane's goal.
But Kane popped up deep into stoppage time to preserve a two point cushion for England in the standings.
"The end was a significant moment", Southgate said.
"Listen, we will go for the next one", he said.
After the game, McArthur tweeted his reaction to the game, saying he was "absolutely devastated" not to win the game, as can be seen below. "I will leave that quote to him".
Jelena Ostapenko beats Simona Halep to win first Grand Slam
And then the fearless Latvian, Jelena Ostapenko , blasted victor after winner past Halep and worked her way back into the match. But again she levelled, and broke in the most spectacular style to win the match with her 54th victor , 6-3.
England looked more risky on the rare occasions they got their opponents turning and Kane had another half chance, with Craig Gordon stranded after coming out of box to head away a long ball. I can only say brilliant, well done everybody. He had a fantastic time at Hibs, and was named the Scotland Young Player of the Year by the PFA for the the 2012-13 season. I've got no problem in terms of getting the most out of them. I knew if I got it round the wall it was in. It is nothing against you guys. Then it doesn't affect me.
"It is annoying for them -- I can't be annoyed". I just love working with them.
"Two special free-kicks from their lad and all of a sudden we're in stoppage time a goal down". We have to improve in all areas to do that. "But that's a different story". I am sure he will make that decision when he is ready, but I was delighted to lead that team out. We played a team with four or five at the back. The Tottenham striker had been significantly below-par, as had much of the team, but his poor play was particularly noticeable.
"So these memories will be with me - I will look at the players and tell them you have to keep coming back and taking knocks like that". It drains you. That's what happened with these guys.
"It was like a middleweight fighting a heavyweight".
England vs Scotland went from a bang average game of football to absolute madness In the space of eight minutes.
Romania scored the goal of the night in the 77th through Bogdan Stancu's stunning strike but its qualifying hopes look bleak after losing ground to second and third-placed Montenegro and Denmark.
"It is annoying for them".
"We should have been further ahead - if you don't get the second goal, you run the risk of an equaliser at some point". Take their centre-backs compared to ours. No disrespect to Hearts, but they're fifth in the Premiership.
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