Harry Maguire talked up the belief in the England camp and said his side will not settle with reaching a first European Championship semi-final in 25 years.
The Three Lions eased to a 4-0 win over Ukraine in Saturday's semi-final at the Stadio Olimpico to set up a showdown with Denmark at Wembley on Wednesday.
England lost their most recent semi-final appearance in the competition on penalties to Germany in 1996, while also losing at that stage to Croatia in the 2018 World Cup.
On the back of that extra-time disappointment at the hands of Croatia three years ago, Maguire is desperate to go one better this time around with victory against Denmark.
"It's a great feeling. Back-to-back semi-finals at a major tournament is a great achievement," Maguire, who scored the second of England's four goals, told BBC Sport.
"I don't want to be a party pooper. We have another big game coming up. We want to go further this time than at the World Cup.
"It is a great feeling that we are here and the way we have done it shows the progress we are making. Long may the improvement continue.
"It is hard to soak it up when you have another big game coming and you know who you are playing and when.
"There's a great atmosphere in the dressing room, but we will wake up tomorrow and be focused again. This group are not settling for a semi-final, we want to go further."
Harry Kane opened the scoring for England inside the first four minutes – the Three Lions' earliest European Championship goal since Michael Owen against Portugal in 2004.
England endured a difficult period at the end of the first half after Andriy Shevchenko tweaked Ukraine's system, but Maguire scored 55 seconds into the second half to settle nerves.
Kane's second of the match four minutes later put the game out of Ukraine's reach and substitute Jordan Henderson rounded off the routine win with a fourth just after the hour.
It is only the second time England have scored four goals in a major tournament knockout game, the other instance being the 1966 World Cup final against West Germany.
"We have great belief in the dressing room," Maguire added. "The first half was tough. We got the early goal we wanted but they caused us problems with their change of shape.
"The second goal settled us down a lot and from there we controlled the game. The third and fourth were deserved on the night. It was an impressive performance.
"We spoke about being better on attacking set-plays. We hadn't scored one before the two tonight. It's nice to chip in with a goal but the main thing is the victory."
Kane's double made it three for the striker at Euro 2020 and nine in major tournaments for England, moving him level with Alan Shearer and behind only Gary Lineker (10).
The Tottenham star finished as the Golden Boot winner at the 2018 World Cup, but he is hopeful of a different outcome to that semi-final heartbreak this time around.
"What a great performance in a big game," he told BBC Sport. "We were favourites, there was a lot of pressure and a lot of expectations. The performance was top-drawer.
"We set out a vision before the tournament of what we want to achieve. We're knocking it off step by step. The World Cup was great but we fell short, and in the Nations League.
"Now it's about getting over the line, the next step that we have got to do on Wednesday."
England have kept five clean sheets in a row from the start of the tournament, something only Italy in 1990 have previously managed at a World Cup or Euros.
But Kane is not getting too carried away ahead of facing Denmark, 2-1 winners over the Czech Republic in Friday's other quarter-final, on home soil next week.
"Another clean sheet, four goals, it was a perfect night for us," he said. "We're building on [clean sheets].
"We have a great unit here from front to back. It's a vital part of winning games and tournaments. The job is not done yet. There's a lot more football to play."
Dewsbury-Hall: Maresca will surprise people at Chelsea
Kiernan Dewsbury-Hall believes new Chelsea manager Enzo Maresca will "surprise a lot of people" when they watch the Blues this season.
The Italian led Leicester City straight back to the Premier League as Championship winners in his only season in charge and succeeds Mauricio Pochettino at Stamford Bridge.
The Foxes topped the second division table with 98 points, with Dewsbury-Hall a key figure in his squad as he netted 12 goals and provided 14 assists last season – his best tally in a single campaign.
Dewsbury-Hall was also named Leicester's Player and Players' Player of the Year.
The midfielder made the switch to West London earlier this month for £30million and is confident that Maresca will have Chelsea challenging for trophies in no time.
"The manager was a big catalyst in wanting me to come," Dewsbury-Hall told BBC Sport.
"I knew from Leicester, a club that went down and had a lot of problems, how he managed to galvanise that if everyone manages to buy into the system.
"I genuinely think in a short space of time we can be pushing for minimum top four - but more than that.
"He may be unknown for a lot of people, but he is top, top level. He will surprise a lot of people."
Chelsea's pre-season got off to a frustrating start as they were held to a 2-2 draw by League One side Wrexham in Maresca's first game in charge on Wednesday.
Dewsbury-Hall did not play in that match but is training with the squad in the United States and could feature in their next outing against Celtic on Saturday.
The 25-year-old is confident the manager's tactics will come across soon, with the players buying into his style.
"We've only been doing it for two or three weeks, but the combination plays are really quick and tidy," he added.
"That's after two weeks. I remember he said to us at Leicester after six months or a year, there might be teething problems at the start, but it will improve.
"Within the first week at Leicester, I was convinced this was top, top level. I felt a bit stupid; I thought I knew a lot about football, but he was teaching me things on a daily basis that I didn't really know before. He has an aura, he can be strict, or gentle and soft - he has both sides.
"I am getting the same feedback here with the lads. They've bought into it here from minute one which is exciting. With a system and philosophy, you need everyone to buy in because, if they do, you can really achieve something."
ECB chief insists no decision made on Mott future
England and Wales Cricket Board chief executive Richard Gould has denied reports a decision has already been made on Matthew Mott's future as white-ball coach.
Mott's future has been called into question in the aftermath of England's failure to defend their T20 World Cup crown in the United States and West Indies, losing to India in the semi-finals.
Mott also oversaw England's calamitous 50-over World Cup campaign last year, as they lost six of their nine matches in India and crashed out in the group stage.
Reports earlier this week suggested the decision had already been made to dispense with Mott's services, with Eoin Morgan a contender to succeed him, though the former limited-overs captain has since said he has no interest in the role.
Asked by BBC Test Match Special if Mott's future had already been decided, Gould said: "That's not true. That's certainly not true.
"Matthew Mott is a really good guy and coach. He's got a great track record and it is the same with [captain] Jos [Buttler].
"We are always assessing options - that is what happens in high-performance sport, you are always assessing your options.
"You never want to be drawn into being given the dreaded vote of confidence or anything like that. Competitive sport always brings scrutiny and decisions.
"We'll constantly want to assess our options but we'll always want to do the right thing by the sport, the team and individuals."
Ederson slams reports of rift with Man City backup Ortega
Ederson has hit out at reports of a rift between himself and fellow Manchester City goalkeeper Stefan Ortega.
The Brazilian was substituted after suffering a fractured eye socket in City's penultimate game of the Premier League season, a vital 1-0 win over Tottenham.
Ortega replaced him and made a brilliant save to deny Son Heung-min as City maintained their slender lead over Arsenal at the top of the table, sealing an unprecedented fourth straight title by beating West Ham five days later.
Ortega was widely lauded for his role in that triumph, and an article published by The Athletic this week suggested Ederson took issue with that praise.
However, the goalkeeper – who missed the Copa America as a result of his injury – has now moved to shut down those suggestions with a post to his Instagram story.
"I would like to clarify that the note published by The Athletic yesterday, referring to my alleged dissatisfaction with a co-worker, is completely false," he wrote.
"The alleged day reported was, without a doubt, one of the most difficult days of my career, when I suffered a fracture that prevented me from playing in the final stretch of the season and, consequently, from representing my country in the Copa America.
"At the time of the injury, my only thought was to continue in the match, defending City in the fight for the title.
"But the emotion of the match would be greater than the reality and, inevitably, I would not be able to continue as I would have liked due to the damage it caused, completely blocking my field of vision. I remain focused on preparing for the season."
Ederson has been linked with a transfer in recent days, reportedly attracting interest from Saudi Pro League clubs.
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