The two teams have defeated tough oppositions in the knockouts and will be eager to reach the final.
Stay tuned here for live updates and highlights of goals and key plays from throughout the match (refresh for most recent updates). And England's 11 goals in Russian Federation equals its highest total at a World Cup.
Indeed, this first World Cup meeting between the pair will have a historic outcome.
After falling short for generations, coach Gareth Southgate has put together a team that is playing like a team.
"I've got a amusing feeling that the momentum is so good, and, you know, especially now that we're all going to turn up with special Gareth waistcoats, and that can only help can't it", said fan Lee Walkup, 50.
Croatia is looking to advance to its first World Cup final as a nation (it was formerly part of Yugoslavia, which participated in the first World Cup in 1930 in Uruguay, finishing fourth).
However Croatia, who made the semi-finals in 1998 only to lose to hosts and eventual winners France, have already been world champions in fact they're officially the unofficial world champions right now.
"This is a really big day for Croatian sport and football", Prime Minister Andrej Plenkovic said before leaving for Russian Federation. "England have been deadly from set-plays and I think this could be their route to the final".
May will not attend the match because Britain has imposed a diplomatic boycott on Russia after blaming Moscow for the attempted assassination of a former Russian spy in England. England has four wins, two losses and one draw in the matchup, including a 4-2 victory in the group stage of the 2004 European Championship.
Germany had held the title after winning the World Cup four years ago but lost their very next game, a friendly, to Argentina.
Despite the much-vaunted attack of teenager Kylian Mbappe and Antoine Griezmann, France's defence proved the difference as they shut down Eden Hazard and Romelu Lukaku and they showed they will be hard to beat on Sunday. The victor of England vs Croatia will face France in Sunday's final.
Hazard shone at times but Kevin De Bruyne was quiet and Manchester United striker Lukaku was a shadow of the player he had been earlier in the tournament, even though Belgium enjoyed most of the possession. You can sign up for a free 7-day trial right here, and you can then watch any World Cup game live on your computer via the FuboTV website, or on your phone, tablet or streaming device via the FuboTV app.
Buying a digital antenna can cost $30 or less, and when you hook one up to your TV in most of the country, you'll get totally free hi-def access to the local stations of broadcast networks - including Fox and Telemundo, as well as CBS, ABC, NBC, and PBS.