Jubilant Croatian fans honked their auto horns and let off fireworks after their soccer team came from behind to beat England 2-1 in extra-time on Wednesday to clinch a place in the World Cup final against France.
"I think in the first half, we were really good and we maybe could've got another and in periods throughout the game we had chances".
Southgate said: "The biggest thing is you could see [from the reaction of] the supporters, you can tell what the players have given and I can't ask anymore".
"We gave it everything, I know we're gonna look back and say we could have done this and what but at the end of the day it was small margins in a big game and it didn't go our way today", said striker Kane, now the tournament's top scorer with six goals.
"But we left everything out there".
Kieran Trippier gave England the lead in Moscow, but Ivan Perisic levelled for Croatia before Mario Mandzukic scored the winning goal in the 109th minute. We know we have done people proud by getting this far, but we wanted to go on and win it.
But while Croatia's superior quality and command of the ball told in the Luzhniki Stadium, their remarkable levels of energy were also key, with this game the third time they have been forced to negotiate extra time in Russian Federation.
Modric will feature in a midfield that consists of the likes of Barcelona's Ivan Rakitic, while Mario Mandzukic, Ivan Perisic, Mateo Kovacic and Dejan Lovren are just some of the names in a Croatian team expected to be England's toughest test yet. Despite the disappointment for England, The Times's expert panel was not short of some trenchant views on the country's most important night for 28 years - or to be precise 10,234 days.
"But we handled it well, but unfortunately we conceded at the wrong time, after that I thought we again picked it up again and done well". We can win knockout games, and we can get to semifinals, but the next step is to go one further.
England had surprised their followers, the nation and other observers with an impressive showing in the World Cup.
'At the moment we all feel the pain of defeat. It shows we can be up here. Meanwhile, England will face Belgium on Saturday in the third-place match.
"Yeah of course [I want to play]".