Hosts Russia or Croatia, who meet later on Sunday and are lower ranked than Southgate's side, are all that stands between England and a first World Cup final since they won the tournament on home soil in 1966.
Harry Kane says he and his England "brothers" are prepared to do whatever is required as they continue to chase their World Cup dream.
"We're one step closer to doing that but we still know that we've got games ahead of us".
"It's a good football side and they don't give a lot of openings".
According to the hotel management, they believe the alarm went off due to either someone smoking in their room or someone accidentally hitting a fire alarm switch.
Spain hail La Liga star Luka Modric on their front page, but declare "England are back" after 28 years fighting for a return to a World Cup semi-final.
Few outside the England camp predicted such a remarkable run in Russian Federation, and after the match Southgate was in no mood to downplay the fact that his team are now within one game of a first World Cup final since 1966.
Former N.J. reporter describes 'war zone' at newsroom shooting
Authorities said a reunification location was being established at the Lord & Taylor at Westfield Annapolis Mall. Live video images showed people leaving the building, walking through a parking lot with their hands in the air.
"I did my best to bring as many Swedes as I could", Swedish fan Mats Sjoberg said.
Just as he had minimal time to reflect on his history-making contribution, so too do the rest of his team-mates as they ponder another impossibly high-stakes clash on Wednesday.
Many narratives are being rewritten in Southgate's first major tournament since being appointed coach of the senior side in September 2016 after several years coaching England's youth ranks.
He told the BBC: "I'm really pleased for Dele (Alli)". We owed it for the fans at home, how they have all been supporting us. We've got to stay focused.
The killer blow, however, arrived in the 59th minute as Jesse Lingard's teasing cross into the box was met by Alli unmarked at the far post to head powerfully past Olsen. We were faced with a good team, England were the best team today.
"We felt we could dominate the ball and control the play although we got a bit sloppy near the end of the second half".
Sweden set up on Saturday to make it hard, to throw their bodies at everything and try their best to keep a clean sheet.
"We are in the World Cup semi-finals".
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