Southgate, for his part, is committed to continuing the overhaul of the England squad and prior to the World Cup name-checked several young players who he has his eye on.
Gareth Southgate and The FA have chose to keep their return from Russian Federation as a low-key affair, despite fans wanting to celebrate England's best World Cup performance in 28 years.
The two were seen reuniting after the game, kissing and embracing among empty seats, later joined by family members.
"We know there is more to come from this England team".
"Many of our players have come of age on the global stage".
"We've proved to ourselves and our country that's possible".
Fans packed into Manchester's Castlefield Bowl Arena for last night's game
"I have got to say the players are incredible, they are an absolute pleasure to work with", Southgate said. But once you're here and played as well as we did, you want to take those opportunities in life.
"For these players, many have come of age on an worldwide stage and I couldn't be prouder with what they've done", Southgate added. This is the third match in which Croatia played an extra time.
England captain Harry Kane - who has six goals in the tournament ahead of Saturday's third-fourth place play-off against Belgium in Russian Federation, said: "It's been an unbelievable run but it hurts to lose, it really hurts". For the majority of this tournament we have tried to be as positive as we can be and be courageous.
"I am immensely proud by the way the players have played and we can see by the reaction of the supporters, they felt the same. It's a big stepping stone from two years ago".
Mandzukic's scored at 109th-minute that sent his country to the final.
Croatia will be hoping to avoid that fate when they take on France in Moscow on Sunday.
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It certainly makes you think that they can make a huge push for the win against Didier Deschamps' team. Speaking to BBC sports editor Dan Roan, he said England "have shown some signs of progress".
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He said Monday on "Fox and Friends": "They have to come to grips with the fact that they are investigating an innocent man. ... Matt Gaetz (R-Fla.) as he left the hearing. "But", he said, "the thought of exposing that information never crossed my mind".