The Three Lions were aiming to reach their first World Cup final since 1966 but suffered a 2-1 loss to Croatia, with Mario Mandzukic scoring the victor in extra-time.
The two teams have already met at this summer's tournament in the group stage, with Belgium beating England 1-0 on June 28.
That game saw both coaches heavily rotate their teams, and a similar scenario is likely in Saint Petersburg, with several fringe players pushing for a start.
A spokeswoman for the Prime Minister said: "We would certainly like to host a reception for the England football team who did so well in Russian Federation and that is something that we are going to talk to the FA about".
"There was just a period in the second half and it looked like we had the lead and don't want to give it away rather than we keep playing and we just lost a bit of composure in that period and Croatia's experience really told". Win and I was good, lose and I was an idiot.
We are proud to see England players who have developed at Premier League clubs, with the benefit of FA preparation and Gareth's excellent team management, achieve so much. I hope on Sunday we can celebrate together. We have the greatest possible respect for them.
"We've had a lot of success at junior level, now with the seniors".
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We have everything needed to do that, a great team, great staff and I hope we will make the extra step, ' he said. The defender is not ready for his World Cup dream to be over as he targets a first England final since 1966.
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"We'll have the players inspired by what's happened over the last few weeks".
Ante Cacic had been sacked and Dalic took over in time for a critical World Cup qualifier against Ukraine.
"We have high motivation to perform".
"He sat out against Belgium earlier on in the tournament to help the team and it will be even more powerful for him winning the Golden Boot after making that sacrifice". The players accepted the criticism they received, they took it on board and improved. He never represented his country at worldwide level during a modest career as a defensive midfielder.
"I think everyone was a little nervous about how the whole tournament was going to go".
He said: "It's nice to be appreciated but it's about the team".
In Luka Modric and Ivan Rakitic they have the midfield engines of both Real Madrid and Barcelona, while the scorer of their victor against the Three Lions, Mario Mandzukic, won the Champions League with Bayern Munich and now plays for Juventus.