Southgate's team made a fine start to their quest to become the first England side to reach the final in 52 years but faded in the second half before going down 2-1 to the Croatians after extra time at the Luzhniki Stadium.
"We had hoped [for this] and we believed in our team, but the feeling when we finally entered the finals can not be compared to anything", said Croatia fan Ivan Kecerin.
England manager Gareth Southgate says the team dressing room is "a hard place at the moment", after his side went out to Croatia in extra-time in the Fifa World Cup semifinals. Did we feel we would be in this position?
"Of course it is going to be a really hard task over the next 24 hours to assess everybody and to get everybody mentally back to where we want them for a game like that".
"I was in Nice to watch us lose too Iceland, I was in Kiev to lose against Italy".
Zlatko Dalic's team ended England's pursuit of glory at the tournament in Russian Federation with a 2-1 victory against the Three Lions after extra-time at Luzhniki Stadium.
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As the extra period started Croatia struggled to maintain their intense pressure but continued to threaten the England defense. For Croatia , it's on the brink of arguably the most shocking World Cup title run in modern history.
Celebrities and supporters in Russian Federation and those at home described Gareth Southgate's young players as heroes for making it to the semi-finals and uniting the country.
"Tonight was a wonderful opportunity for us and you can't guarantee that those opportunities will come again", he added. Asked how far he thought the still young England team could progress in the next World Cup, he said: "This far, if not the final". We have three days to prepare ourselves.
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They were briefly silenced when Croatia equalised through Ivan Perisic in the middle of the second half.
In the end, it was not to be, though amid the disappointment there was also a feeling that the tournament was still something to savour, the first such World Cup for a long time.
"We have the chance to do something better, and hopefully we can do it on Sunday".
"When you get to this stage of the competition, the margins are fine. they've taken two of their (chances) and we weren't able to respond".